The ratio of two numbers is 3:5, the smallest number is 45 what is the larger number?

x = larger number

45 / x = 3 / 5 Multiply both sides by 5

45 * 5 / x = 3

225 / x = 3 Multiply both sides by x

225 = 3 x Divide both sides by 3

225 / 3 = x

75 = x

x = 75

Proof:

45 / 75 = ( 3 * 15 ) / ( 5 * 15 ) = 3 / 5

rfr6f

To find the larger number, we need to determine the ratio between the two numbers.

The given ratio is 3:5, which means the smaller number is divided into 3 equal parts and the larger number is divided into 5 equal parts.

Since the smallest number is given as 45, we can find the size of one part by dividing 45 by 3:

45 / 3 = 15

Therefore, each part represents 15.

To find the larger number, we multiply the size of one part by the number of parts for the larger number:

15 * 5 = 75

Therefore, the larger number is 75.

To find the larger number, we need to use the ratio given.

The ratio of two numbers, 3:5, indicates that for every 3 parts of the first number, there are 5 parts of the second number.

We know that the smallest number is 45.

To find the larger number, we can set up a proportion.

Let's assume the larger number is "x".

Using the ratio, we can write the proportion as:

3/5 = 45/x

To solve for "x", we can cross-multiply:

3 * x = 5 * 45

3x = 225

To isolate "x", we divide both sides of the equation by 3:

x = 225 / 3

x = 75

Therefore, the larger number is 75.