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find the number that makes the ratio equivalent to 24:96. 2:□

Question

find the number that makes the ratio equivalent to 24:96.
2:□

Explanation:

Step1: Simplify the given ratio

First, find the greatest common divisor (GCD) of 24 and 96. The GCD of 24 and 96 is 24. Divide both terms of the ratio by 24:
$\frac{24}{24}:\frac{96}{24} = 1:4$

Step2: Scale the simplified ratio to match 2:□

We need the first term to be 2, so multiply both terms of 1:4 by 2:
$1\times2:4\times2 = 2:8$

Answer:

8