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Finding the Third Proportional to 39,314 and 62,525

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Solution

The third proportional to 39,314 and 62,525 is: 99,439.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,314 : 62,525 = 62,525 : x
  2. Step 2: Convert to fraction form
    39,314/62,525 = 62,525/x
  3. Step 3: Cross multiply
    39,314x = 62,525 × 62,525
  4. Step 4: Simplify right side
    39,314x = 3,909,375,625
  5. Step 5: Solve for x
    x = 3,909,375,625/39,314
  6. Step 6: Final answer
    x = 99,439.78

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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.