Write the ratio 12 : 36 as an equivalent ratio of x : 3.
To find the equivalent ratio of x : 3, we need to find a value for x that is proportional to the value of 12 in the ratio 12 : 36.
To do this, we can set up a proportion:
12/36 = x/3
Cross-multiplying, we get:
36x = 12 * 3
36x = 36
Dividing both sides by 36, we get:
x = 1
Therefore, the equivalent ratio of 12 : 36 as x : 3 is 1 : 3.
To find an equivalent ratio of x : 3 for the ratio 12 : 36, we need to find a value for x that satisfies the new ratio.
First, let's simplify the given ratio 12 : 36 by dividing both numbers by their greatest common factor, which is 12. This gives us the simplified ratio 1 : 3.
The simplified ratio is now 1 : 3.
To make this ratio equivalent to x : 3, we need to multiply both parts of the ratio by the same value. Since we want the second part of the ratio to be 3, we can multiply both parts by 3. This gives us the new equivalent ratio of 3 : 9.
Therefore, the ratio 12 : 36 is equivalent to the ratio 3 : 9 as x : 3.
To find an equivalent ratio of x : 3, we need to determine what value x should be.
To do this, we can set up a proportion using the given ratio:
12/36 = x/3
To solve for x, we can cross multiply:
12 * 3 = 36 * x
36 = 36x
Divide both sides of the equation by 36:
36/36 = x
1 = x
So, the equivalent ratio of 12 : 36 as x : 3 is 1 : 3.