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Finding the Third Proportional to 27,387.56 and 57,542.34

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Solution

The third proportional to 27,387.56 and 57,542.34 is: 120,898.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,387.56 : 57,542.34 = 57,542.34 : x
  2. Step 2: Convert to fraction form
    27,387.56/57,542.34 = 57,542.34/x
  3. Step 3: Cross multiply
    27,387.56x = 57,542.34 × 57,542.34
  4. Step 4: Simplify right side
    27,387.56x = 3,311,121,324.24
  5. Step 5: Solve for x
    x = 3,311,121,324.24/27,387.56
  6. Step 6: Final answer
    x = 120,898.72

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.