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Finding the Third Proportional to 31,794 and 67,809

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Solution

The third proportional to 31,794 and 67,809 is: 144,620.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,794 : 67,809 = 67,809 : x
  2. Step 2: Convert to fraction form
    31,794/67,809 = 67,809/x
  3. Step 3: Cross multiply
    31,794x = 67,809 × 67,809
  4. Step 4: Simplify right side
    31,794x = 4,598,060,481
  5. Step 5: Solve for x
    x = 4,598,060,481/31,794
  6. Step 6: Final answer
    x = 144,620.38

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.