Finding the Third Proportional to 31,932 and 50,706
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Solution
The third proportional to 31,932 and 50,706 is: 80,517.93
Step by Step Solution
- Step 1: Write the proportion equation
31,932 : 50,706 = 50,706 : x - Step 2: Convert to fraction form
31,932/50,706 = 50,706/x - Step 3: Cross multiply
31,932x = 50,706 × 50,706 - Step 4: Simplify right side
31,932x = 2,571,098,436 - Step 5: Solve for x
x = 2,571,098,436/31,932 - Step 6: Final answer
x = 80,517.93
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.