S. 6 Write an equivalent ratio NEA Find the number that makes the ratio equivalent to \( 3: 8 \). \( 36: \square \) Submit

To find the number that makes the ratio equivalent to \( 3: 8 \) when given \( 36: \square \), you can set up a proportion. Since you want to keep the ratios equivalent, you can write the equation: \[ \frac{3}{8} = \frac{36}{x} \] By cross-multiplying, you get: \[ 3x = 36 \times 8 \] Calculating that gives you \( 3x = 288 \), and when you divide both sides by 3, you find that \( x = 96 \). Thus, the equivalent ratio is \( 36: 96 \). To check your answer, you can simplify \( 36: 96 \) by dividing both terms by 36, which gives you \( 1: 2.67 \), rather than returning to the original \( 3: 8\). Therefore, verifying with cross multiplication is key to finding and ensuring equivalence!