Finding the Third Proportional to 31,446 and 67,790
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Solution
The third proportional to 31,446 and 67,790 is: 146,138.91
Step by Step Solution
- Step 1: Write the proportion equation
31,446 : 67,790 = 67,790 : x - Step 2: Convert to fraction form
31,446/67,790 = 67,790/x - Step 3: Cross multiply
31,446x = 67,790 × 67,790 - Step 4: Simplify right side
31,446x = 4,595,484,100 - Step 5: Solve for x
x = 4,595,484,100/31,446 - Step 6: Final answer
x = 146,138.91
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.