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Finding the Third Proportional to 20,524 and 31,842

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Solution

The third proportional to 20,524 and 31,842 is: 49,401.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,524 : 31,842 = 31,842 : x
  2. Step 2: Convert to fraction form
    20,524/31,842 = 31,842/x
  3. Step 3: Cross multiply
    20,524x = 31,842 × 31,842
  4. Step 4: Simplify right side
    20,524x = 1,013,912,964
  5. Step 5: Solve for x
    x = 1,013,912,964/20,524
  6. Step 6: Final answer
    x = 49,401.33

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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.