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Finding the Third Proportional to 38,404 and 56,238

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Solution

The third proportional to 38,404 and 56,238 is: 82,353.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,404 : 56,238 = 56,238 : x
  2. Step 2: Convert to fraction form
    38,404/56,238 = 56,238/x
  3. Step 3: Cross multiply
    38,404x = 56,238 × 56,238
  4. Step 4: Simplify right side
    38,404x = 3,162,712,644
  5. Step 5: Solve for x
    x = 3,162,712,644/38,404
  6. Step 6: Final answer
    x = 82,353.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.