Find the number that makes the ratio equivalent to \( 6: 2 \).

To find a number that makes the ratio equivalent to \( 6: 2 \), we can simplify \( 6: 2 \) to \( 3: 1 \) by dividing both terms by 2. Now, if we represent the missing number as \( x \), we can set up the equation such that \( \frac{x}{2} = \frac{3}{1} \). Cross-multiplying gives us \( x \cdot 1 = 3 \cdot 2 \), which simplifies to \( x = 6 \). So, the number that makes the ratio equivalent to \( 6: 2 \) is \( 6 \). Just remember that in ratios, the two values should maintain the same relationship. If you have \( 6: x \) and want that to equal \( 3: 1 \), then \( 6 \) is still turning everything in your favor, bringing that number home! Additionally, ratios are like recipes, where the ingredients must be balanced. Keeping your ratios simplified can help avoid confusion in calculations, especially in real-world situations like mixing solutions or budgeting.