Find the number that makes the ratio equivalent to \( 8: 24 \).

To make the ratio equivalent to \( 8: 24 \), we can simplify it first. Dividing both sides by 8 gives us \( 1: 3 \). Now, to find a number that maintains this ratio, you can choose any number for the first part, and multiply it by 3 for the second part. For example, if you pick 5, the equivalent ratio would be \( 5: 15 \) since \( 15 = 5 \times 3 \). Alternatively, if you need a specific number that fits within the equivalent ratio format, you can express \( x:3x \) where \( x = 2 \) leads to \( 2:6 \), or \( x = 4 \) leads to \( 4:12 \), both resembling the \( 1:3 \) simplified version of \( 8:24 \). The key is finding numbers that keep the same proportion!