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Finding the Third Proportional to 38,401 and 59,599

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Solution

The third proportional to 38,401 and 59,599 is: 92,498.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,401 : 59,599 = 59,599 : x
  2. Step 2: Convert to fraction form
    38,401/59,599 = 59,599/x
  3. Step 3: Cross multiply
    38,401x = 59,599 × 59,599
  4. Step 4: Simplify right side
    38,401x = 3,552,040,801
  5. Step 5: Solve for x
    x = 3,552,040,801/38,401
  6. Step 6: Final answer
    x = 92,498.65

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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.