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Finding the Third Proportional to 38,691 and 52,200

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Solution

The third proportional to 38,691 and 52,200 is: 70,425.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,691 : 52,200 = 52,200 : x
  2. Step 2: Convert to fraction form
    38,691/52,200 = 52,200/x
  3. Step 3: Cross multiply
    38,691x = 52,200 × 52,200
  4. Step 4: Simplify right side
    38,691x = 2,724,840,000
  5. Step 5: Solve for x
    x = 2,724,840,000/38,691
  6. Step 6: Final answer
    x = 70,425.68

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.