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Finding the Third Proportional to 3,306.28 and 7,067.53

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Solution

The third proportional to 3,306.28 and 7,067.53 is: 15,107.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306.28 : 7,067.53 = 7,067.53 : x
  2. Step 2: Convert to fraction form
    3,306.28/7,067.53 = 7,067.53/x
  3. Step 3: Cross multiply
    3,306.28x = 7,067.53 × 7,067.53
  4. Step 4: Simplify right side
    3,306.28x = 49,949,997.97
  5. Step 5: Solve for x
    x = 49,949,997.97/3,306.28
  6. Step 6: Final answer
    x = 15,107.61

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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.