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Finding the Third Proportional to 44,757 and 62,741

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Solution

The third proportional to 44,757 and 62,741 is: 87,951.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,757 : 62,741 = 62,741 : x
  2. Step 2: Convert to fraction form
    44,757/62,741 = 62,741/x
  3. Step 3: Cross multiply
    44,757x = 62,741 × 62,741
  4. Step 4: Simplify right side
    44,757x = 3,936,433,081
  5. Step 5: Solve for x
    x = 3,936,433,081/44,757
  6. Step 6: Final answer
    x = 87,951.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.