Which two ratios form a proportion?

A) 2 : 3 and 4 : 12
B) 2 : 3 and 6 : 12
C) 2 : 3 and 12 : 18
D) 2 : 3 and 12 : 36

I am extremely late but trust me the answer is C because I just answered this question on USA test prep(a website were you complete your teacher's assignments for a grade) and I chose D because someone else said D but then I got it wrong and the answer is actually C.

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EXPLANATION 2*6=12
3*6=18

its s C but follow my tiktok @samanthaaavibezzz._

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To determine which two ratios form a proportion, we need to check if the ratios are equal.

Let's go through each option:

A) The first ratio is 2:3, and the second ratio is 4:12. We can simplify the second ratio to 1:3 by dividing both terms by 4. Comparing the two ratios, 2:3 and 1:3, we can see that they are not equal. So, option A does not form a proportion.

B) The first ratio is 2:3, and the second ratio is 6:12. We can simplify the second ratio to 1:2 by dividing both terms by 6. Comparing the two ratios, 2:3 and 1:2, we can see that they are not equal. So, option B does not form a proportion.

C) The first ratio is 2:3, and the second ratio is 12:18. We can simplify both ratios by dividing both terms by 6. The first ratio simplifies to 1:1, and the second ratio simplifies to 2:3. Comparing the two simplified ratios, 1:1 and 2:3, we can see that they are not equal. So, option C does not form a proportion.

D) The first ratio is 2:3, and the second ratio is 12:36. We can simplify both ratios by dividing both terms by 12. The first ratio simplifies to 1:2, and the second ratio simplifies to 1:3. Comparing the two simplified ratios, 1:2 and 1:3, we can see that they are equal. So, option D forms a proportion.

Thus, the correct answer is option D) 2:3 and 12:36.

Simplify the second fraction.

For example: 4/12 = 1/3
Obviously 2/3 does not equal 1/3

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The answer is D). Here is why.

2/3, is 2 out of the total of three.
12/36 is the same thing as 2/3 because 12/36 is two thirds of 36.
I hope this helped! :)