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Finding the Third Proportional to 31,998.38 and 68,902.31

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Solution

The third proportional to 31,998.38 and 68,902.31 is: 148,367.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,998.38 : 68,902.31 = 68,902.31 : x
  2. Step 2: Convert to fraction form
    31,998.38/68,902.31 = 68,902.31/x
  3. Step 3: Cross multiply
    31,998.38x = 68,902.31 × 68,902.31
  4. Step 4: Simplify right side
    31,998.38x = 4,747,528,667.85
  5. Step 5: Solve for x
    x = 4,747,528,667.85/31,998.38
  6. Step 6: Final answer
    x = 148,367.81

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.