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Finding the Third Proportional to 38,906 and 59,331

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Solution

The third proportional to 38,906 and 59,331 is: 90,478.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,906 : 59,331 = 59,331 : x
  2. Step 2: Convert to fraction form
    38,906/59,331 = 59,331/x
  3. Step 3: Cross multiply
    38,906x = 59,331 × 59,331
  4. Step 4: Simplify right side
    38,906x = 3,520,167,561
  5. Step 5: Solve for x
    x = 3,520,167,561/38,906
  6. Step 6: Final answer
    x = 90,478.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.