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Finding the Third Proportional to 38,311 and 59,471

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Solution

The third proportional to 38,311 and 59,471 is: 92,318.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,311 : 59,471 = 59,471 : x
  2. Step 2: Convert to fraction form
    38,311/59,471 = 59,471/x
  3. Step 3: Cross multiply
    38,311x = 59,471 × 59,471
  4. Step 4: Simplify right side
    38,311x = 3,536,799,841
  5. Step 5: Solve for x
    x = 3,536,799,841/38,311
  6. Step 6: Final answer
    x = 92,318.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.