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Finding the Third Proportional to 18,462.38 and 27,862.88

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Solution

The third proportional to 18,462.38 and 27,862.88 is: 42,049.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,462.38 : 27,862.88 = 27,862.88 : x
  2. Step 2: Convert to fraction form
    18,462.38/27,862.88 = 27,862.88/x
  3. Step 3: Cross multiply
    18,462.38x = 27,862.88 × 27,862.88
  4. Step 4: Simplify right side
    18,462.38x = 776,339,803.27
  5. Step 5: Solve for x
    x = 776,339,803.27/18,462.38
  6. Step 6: Final answer
    x = 42,049.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.