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Finding the Third Proportional to 3,265.31 and 7,273.97

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Solution

The third proportional to 3,265.31 and 7,273.97 is: 16,203.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.31 : 7,273.97 = 7,273.97 : x
  2. Step 2: Convert to fraction form
    3,265.31/7,273.97 = 7,273.97/x
  3. Step 3: Cross multiply
    3,265.31x = 7,273.97 × 7,273.97
  4. Step 4: Simplify right side
    3,265.31x = 52,910,621.38
  5. Step 5: Solve for x
    x = 52,910,621.38/3,265.31
  6. Step 6: Final answer
    x = 16,203.85

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.