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Finding the Third Proportional to 27,739.97 and 39,251.46

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Solution

The third proportional to 27,739.97 and 39,251.46 is: 55,539.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,739.97 : 39,251.46 = 39,251.46 : x
  2. Step 2: Convert to fraction form
    27,739.97/39,251.46 = 39,251.46/x
  3. Step 3: Cross multiply
    27,739.97x = 39,251.46 × 39,251.46
  4. Step 4: Simplify right side
    27,739.97x = 1,540,677,185.73
  5. Step 5: Solve for x
    x = 1,540,677,185.73/27,739.97
  6. Step 6: Final answer
    x = 55,539.98

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.