What number is \( x \) ? \( 21: 30=x: 50 \)

To solve for \( x \) in the proportion \( 21:30 = x:50 \), we can use cross-multiplication. This means we multiply the outer terms and the inner terms: \[ 21 \times 50 = 30 \times x \] Calculating the left side gives: \[ 1050 = 30x \] Now, to isolate \( x \): \[ x = \frac{1050}{30} = 35 \] So, the value of \( x \) is \( 35 \). Now you've not only solved for \( x \) but also witnessed the beauty of proportions that helps in comparing ratios! Proportions are everywhere—from cooking recipes to mixing drinks, allowing us to scale quantities while keeping flavors intact. Just remember, every time you see a ratio, you can apply cross-multiplication and solve for unknowns like a math detective!