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Finding the Third Proportional to 39,837 and 60,741

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Solution

The third proportional to 39,837 and 60,741 is: 92,614.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,837 : 60,741 = 60,741 : x
  2. Step 2: Convert to fraction form
    39,837/60,741 = 60,741/x
  3. Step 3: Cross multiply
    39,837x = 60,741 × 60,741
  4. Step 4: Simplify right side
    39,837x = 3,689,469,081
  5. Step 5: Solve for x
    x = 3,689,469,081/39,837
  6. Step 6: Final answer
    x = 92,614.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.