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Finding the Third Proportional to 27,739.97 and 59,174.30

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Solution

The third proportional to 27,739.97 and 59,174.30 is: 126,229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,739.97 : 59,174.30 = 59,174.30 : x
  2. Step 2: Convert to fraction form
    27,739.97/59,174.30 = 59,174.30/x
  3. Step 3: Cross multiply
    27,739.97x = 59,174.30 × 59,174.30
  4. Step 4: Simplify right side
    27,739.97x = 3,501,597,410.65
  5. Step 5: Solve for x
    x = 3,501,597,410.65/27,739.97
  6. Step 6: Final answer
    x = 126,229.32

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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.