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Finding the Third Proportional to 29,101.78 and 54,049.78

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Solution

The third proportional to 29,101.78 and 54,049.78 is: 100,384.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,101.78 : 54,049.78 = 54,049.78 : x
  2. Step 2: Convert to fraction form
    29,101.78/54,049.78 = 54,049.78/x
  3. Step 3: Cross multiply
    29,101.78x = 54,049.78 × 54,049.78
  4. Step 4: Simplify right side
    29,101.78x = 2,921,378,853.17
  5. Step 5: Solve for x
    x = 2,921,378,853.17/29,101.78
  6. Step 6: Final answer
    x = 100,384.88

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.