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. Give an example of a proportion.
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GPT-5 mini
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A proportion is an equation that states two ratios are equal.
Examples:
- Numerical: 1/2 = 3/6 (both equal 0.5).
- With an unknown: 3/4 = x/12. Solve by cross-multiplying: 3·12 = 4·x → 36 = 4x → x = 9.
- Real-world: If a recipe uses 2 cups flour for 3 cups sugar, the same ratio holds if you double it: 4 cups flour : 6 cups sugar.
Examples:
- Numerical: 1/2 = 3/6 (both equal 0.5).
- With an unknown: 3/4 = x/12. Solve by cross-multiplying: 3·12 = 4·x → 36 = 4x → x = 9.
- Real-world: If a recipe uses 2 cups flour for 3 cups sugar, the same ratio holds if you double it: 4 cups flour : 6 cups sugar.
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