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Finding the Third Proportional to 32,864 and 71,599

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Solution

The third proportional to 32,864 and 71,599 is: 155,988.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,864 : 71,599 = 71,599 : x
  2. Step 2: Convert to fraction form
    32,864/71,599 = 71,599/x
  3. Step 3: Cross multiply
    32,864x = 71,599 × 71,599
  4. Step 4: Simplify right side
    32,864x = 5,126,416,801
  5. Step 5: Solve for x
    x = 5,126,416,801/32,864
  6. Step 6: Final answer
    x = 155,988.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.