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Finding the Third Proportional to 31,801 and 62,801

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Solution

The third proportional to 31,801 and 62,801 is: 124,020.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,801 : 62,801 = 62,801 : x
  2. Step 2: Convert to fraction form
    31,801/62,801 = 62,801/x
  3. Step 3: Cross multiply
    31,801x = 62,801 × 62,801
  4. Step 4: Simplify right side
    31,801x = 3,943,965,601
  5. Step 5: Solve for x
    x = 3,943,965,601/31,801
  6. Step 6: Final answer
    x = 124,020.18

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.