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Finding the Third Proportional to 6,132.38 and 9,789.38

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Solution

The third proportional to 6,132.38 and 9,789.38 is: 15,627.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,132.38 : 9,789.38 = 9,789.38 : x
  2. Step 2: Convert to fraction form
    6,132.38/9,789.38 = 9,789.38/x
  3. Step 3: Cross multiply
    6,132.38x = 9,789.38 × 9,789.38
  4. Step 4: Simplify right side
    6,132.38x = 95,831,862.89
  5. Step 5: Solve for x
    x = 95,831,862.89/6,132.38
  6. Step 6: Final answer
    x = 15,627.20

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.