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Finding the Third Proportional to 18,716 and 41,198

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Solution

The third proportional to 18,716 and 41,198 is: 90,685.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,716 : 41,198 = 41,198 : x
  2. Step 2: Convert to fraction form
    18,716/41,198 = 41,198/x
  3. Step 3: Cross multiply
    18,716x = 41,198 × 41,198
  4. Step 4: Simplify right side
    18,716x = 1,697,275,204
  5. Step 5: Solve for x
    x = 1,697,275,204/18,716
  6. Step 6: Final answer
    x = 90,685.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.