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Finding the Third Proportional to 3,863.25 and 8,273.11

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Solution

The third proportional to 3,863.25 and 8,273.11 is: 17,716.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.25 : 8,273.11 = 8,273.11 : x
  2. Step 2: Convert to fraction form
    3,863.25/8,273.11 = 8,273.11/x
  3. Step 3: Cross multiply
    3,863.25x = 8,273.11 × 8,273.11
  4. Step 4: Simplify right side
    3,863.25x = 68,444,338.73
  5. Step 5: Solve for x
    x = 68,444,338.73/3,863.25
  6. Step 6: Final answer
    x = 17,716.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.