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Finding the Third Proportional to 35,849 and 55,691

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Solution

The third proportional to 35,849 and 55,691 is: 86,515.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,849 : 55,691 = 55,691 : x
  2. Step 2: Convert to fraction form
    35,849/55,691 = 55,691/x
  3. Step 3: Cross multiply
    35,849x = 55,691 × 55,691
  4. Step 4: Simplify right side
    35,849x = 3,101,487,481
  5. Step 5: Solve for x
    x = 3,101,487,481/35,849
  6. Step 6: Final answer
    x = 86,515.31

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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.