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Finding the Third Proportional to 18,198.38 and 38,583.38

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Solution

The third proportional to 18,198.38 and 38,583.38 is: 81,802.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,198.38 : 38,583.38 = 38,583.38 : x
  2. Step 2: Convert to fraction form
    18,198.38/38,583.38 = 38,583.38/x
  3. Step 3: Cross multiply
    18,198.38x = 38,583.38 × 38,583.38
  4. Step 4: Simplify right side
    18,198.38x = 1,488,676,826.39
  5. Step 5: Solve for x
    x = 1,488,676,826.39/18,198.38
  6. Step 6: Final answer
    x = 81,802.73

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Why These Related Problems?

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