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Finding the Third Proportional to 27,747.56 and 58,957.88

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Solution

The third proportional to 27,747.56 and 58,957.88 is: 125,273.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,747.56 : 58,957.88 = 58,957.88 : x
  2. Step 2: Convert to fraction form
    27,747.56/58,957.88 = 58,957.88/x
  3. Step 3: Cross multiply
    27,747.56x = 58,957.88 × 58,957.88
  4. Step 4: Simplify right side
    27,747.56x = 3,476,031,024.52
  5. Step 5: Solve for x
    x = 3,476,031,024.52/27,747.56
  6. Step 6: Final answer
    x = 125,273.38

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.