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Finding the Third Proportional to 8,067.66 and 17,371.41

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Solution

The third proportional to 8,067.66 and 17,371.41 is: 37,404.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,067.66 : 17,371.41 = 17,371.41 : x
  2. Step 2: Convert to fraction form
    8,067.66/17,371.41 = 17,371.41/x
  3. Step 3: Cross multiply
    8,067.66x = 17,371.41 × 17,371.41
  4. Step 4: Simplify right side
    8,067.66x = 301,765,755.10
  5. Step 5: Solve for x
    x = 301,765,755.10/8,067.66
  6. Step 6: Final answer
    x = 37,404.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.