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Finding the Third Proportional to 39,757.50 and 61,641

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Solution

The third proportional to 39,757.50 and 61,641 is: 95,569.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,757.50 : 61,641 = 61,641 : x
  2. Step 2: Convert to fraction form
    39,757.50/61,641 = 61,641/x
  3. Step 3: Cross multiply
    39,757.50x = 61,641 × 61,641
  4. Step 4: Simplify right side
    39,757.50x = 3,799,612,881
  5. Step 5: Solve for x
    x = 3,799,612,881/39,757.50
  6. Step 6: Final answer
    x = 95,569.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.