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Finding the Third Proportional to 38,817 and 59,357

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Solution

The third proportional to 38,817 and 59,357 is: 90,765.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,817 : 59,357 = 59,357 : x
  2. Step 2: Convert to fraction form
    38,817/59,357 = 59,357/x
  3. Step 3: Cross multiply
    38,817x = 59,357 × 59,357
  4. Step 4: Simplify right side
    38,817x = 3,523,253,449
  5. Step 5: Solve for x
    x = 3,523,253,449/38,817
  6. Step 6: Final answer
    x = 90,765.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.