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Finding the Third Proportional to 39,687 and 59,525

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Solution

The third proportional to 39,687 and 59,525 is: 89,279.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,687 : 59,525 = 59,525 : x
  2. Step 2: Convert to fraction form
    39,687/59,525 = 59,525/x
  3. Step 3: Cross multiply
    39,687x = 59,525 × 59,525
  4. Step 4: Simplify right side
    39,687x = 3,543,225,625
  5. Step 5: Solve for x
    x = 3,543,225,625/39,687
  6. Step 6: Final answer
    x = 89,279.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.