Find the number that makes the ratio equivalent to \( 72: 24 \). \( \square: 6 \)

To find the number that makes the ratio equivalent to \( 72: 24 \), let's simplify the ratio first. Dividing both terms by 24 gives us \( 3:1 \). Now, we need to find \( x \) in the ratio \( x:6 \) that is equivalent to \( 3:1 \). Setting up the equation, we have: \[ \frac{x}{6} = \frac{3}{1} \] Cross-multiplying gives \( x = 3 \times 6 = 18 \). So, the number is \( 18 \). And remember, when simplifying ratios, it always helps to break down the numbers into their simplest form. Dividing by the greatest common factor is a classic move to make your math life much easier! Also, when you're solving for an unknown in a ratio, setting up proportionate equations can lead you to the answer more efficiently.