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Finding the Third Proportional to 38,681 and 52,189

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Solution

The third proportional to 38,681 and 52,189 is: 70,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,681 : 52,189 = 52,189 : x
  2. Step 2: Convert to fraction form
    38,681/52,189 = 52,189/x
  3. Step 3: Cross multiply
    38,681x = 52,189 × 52,189
  4. Step 4: Simplify right side
    38,681x = 2,723,691,721
  5. Step 5: Solve for x
    x = 2,723,691,721/38,681
  6. Step 6: Final answer
    x = 70,414.20

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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.