Finding the Third Proportional to 31,624 and 50,940
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Solution
The third proportional to 31,624 and 50,940 is: 82,054.25
Step by Step Solution
- Step 1: Write the proportion equation
31,624 : 50,940 = 50,940 : x - Step 2: Convert to fraction form
31,624/50,940 = 50,940/x - Step 3: Cross multiply
31,624x = 50,940 × 50,940 - Step 4: Simplify right side
31,624x = 2,594,883,600 - Step 5: Solve for x
x = 2,594,883,600/31,624 - Step 6: Final answer
x = 82,054.25
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Why These Related Problems?
These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.