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Finding the Third Proportional to 49,231.13 and 54,306.56

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Solution

The third proportional to 49,231.13 and 54,306.56 is: 59,905.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,231.13 : 54,306.56 = 54,306.56 : x
  2. Step 2: Convert to fraction form
    49,231.13/54,306.56 = 54,306.56/x
  3. Step 3: Cross multiply
    49,231.13x = 54,306.56 × 54,306.56
  4. Step 4: Simplify right side
    49,231.13x = 2,949,202,730.57
  5. Step 5: Solve for x
    x = 2,949,202,730.57/49,231.13
  6. Step 6: Final answer
    x = 59,905.25

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.