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Finding the Third Proportional to 3,831 and 6,099.38

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Solution

The third proportional to 3,831 and 6,099.38 is: 9,710.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831 : 6,099.38 = 6,099.38 : x
  2. Step 2: Convert to fraction form
    3,831/6,099.38 = 6,099.38/x
  3. Step 3: Cross multiply
    3,831x = 6,099.38 × 6,099.38
  4. Step 4: Simplify right side
    3,831x = 37,202,375.39
  5. Step 5: Solve for x
    x = 37,202,375.39/3,831
  6. Step 6: Final answer
    x = 9,710.88

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.