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Finding the Third Proportional to 34,691 and 81,849

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Solution

The third proportional to 34,691 and 81,849 is: 193,112.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,691 : 81,849 = 81,849 : x
  2. Step 2: Convert to fraction form
    34,691/81,849 = 81,849/x
  3. Step 3: Cross multiply
    34,691x = 81,849 × 81,849
  4. Step 4: Simplify right side
    34,691x = 6,699,258,801
  5. Step 5: Solve for x
    x = 6,699,258,801/34,691
  6. Step 6: Final answer
    x = 193,112.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.