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Finding the Third Proportional to 3,340.30 and 7,171.82

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Solution

The third proportional to 3,340.30 and 7,171.82 is: 15,398.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340.30 : 7,171.82 = 7,171.82 : x
  2. Step 2: Convert to fraction form
    3,340.30/7,171.82 = 7,171.82/x
  3. Step 3: Cross multiply
    3,340.30x = 7,171.82 × 7,171.82
  4. Step 4: Simplify right side
    3,340.30x = 51,435,034.61
  5. Step 5: Solve for x
    x = 51,435,034.61/3,340.30
  6. Step 6: Final answer
    x = 15,398.32

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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.