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Finding the Third Proportional to 39,532 and 85,624

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Solution

The third proportional to 39,532 and 85,624 is: 185,456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,532 : 85,624 = 85,624 : x
  2. Step 2: Convert to fraction form
    39,532/85,624 = 85,624/x
  3. Step 3: Cross multiply
    39,532x = 85,624 × 85,624
  4. Step 4: Simplify right side
    39,532x = 7,331,469,376
  5. Step 5: Solve for x
    x = 7,331,469,376/39,532
  6. Step 6: Final answer
    x = 185,456.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.