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Finding the Third Proportional to 20,098.13 and 26,431.31

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Solution

The third proportional to 20,098.13 and 26,431.31 is: 34,760.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.13 : 26,431.31 = 26,431.31 : x
  2. Step 2: Convert to fraction form
    20,098.13/26,431.31 = 26,431.31/x
  3. Step 3: Cross multiply
    20,098.13x = 26,431.31 × 26,431.31
  4. Step 4: Simplify right side
    20,098.13x = 698,614,280.47
  5. Step 5: Solve for x
    x = 698,614,280.47/20,098.13
  6. Step 6: Final answer
    x = 34,760.17

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.