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Finding the Third Proportional to 6,150.38 and 10,306.13

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Solution

The third proportional to 6,150.38 and 10,306.13 is: 17,269.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,150.38 : 10,306.13 = 10,306.13 : x
  2. Step 2: Convert to fraction form
    6,150.38/10,306.13 = 10,306.13/x
  3. Step 3: Cross multiply
    6,150.38x = 10,306.13 × 10,306.13
  4. Step 4: Simplify right side
    6,150.38x = 106,216,212.52
  5. Step 5: Solve for x
    x = 106,216,212.52/6,150.38
  6. Step 6: Final answer
    x = 17,269.88

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These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.