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Finding the Third Proportional to 18,198 and 27,321.75

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Solution

The third proportional to 18,198 and 27,321.75 is: 41,019.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,198 : 27,321.75 = 27,321.75 : x
  2. Step 2: Convert to fraction form
    18,198/27,321.75 = 27,321.75/x
  3. Step 3: Cross multiply
    18,198x = 27,321.75 × 27,321.75
  4. Step 4: Simplify right side
    18,198x = 746,478,023.06
  5. Step 5: Solve for x
    x = 746,478,023.06/18,198
  6. Step 6: Final answer
    x = 41,019.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.