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find the number that makes the ratio equivalent to 9:24. \\boxed{}:72

Question

find the number that makes the ratio equivalent to 9:24. \boxed{}:72

Explanation:

Step1: Find the scale factor

We know that the second term of the ratio changes from 24 to 72. To find the scale factor, we divide 72 by 24. So, $\frac{72}{24} = 3$.

Step2: Multiply the first term by the scale factor

The first term of the original ratio is 9. We multiply 9 by the scale factor (3) to get the missing number. So, $9\times3 = 27$.

Answer:

27