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Finding the Third Proportional to 16,411 and 39,691

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Solution

The third proportional to 16,411 and 39,691 is: 95,995.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411 : 39,691 = 39,691 : x
  2. Step 2: Convert to fraction form
    16,411/39,691 = 39,691/x
  3. Step 3: Cross multiply
    16,411x = 39,691 × 39,691
  4. Step 4: Simplify right side
    16,411x = 1,575,375,481
  5. Step 5: Solve for x
    x = 1,575,375,481/16,411
  6. Step 6: Final answer
    x = 95,995.09

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.