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Finding the Third Proportional to 18,901 and 41,203

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Solution

The third proportional to 18,901 and 41,203 is: 89,819.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,901 : 41,203 = 41,203 : x
  2. Step 2: Convert to fraction form
    18,901/41,203 = 41,203/x
  3. Step 3: Cross multiply
    18,901x = 41,203 × 41,203
  4. Step 4: Simplify right side
    18,901x = 1,697,687,209
  5. Step 5: Solve for x
    x = 1,697,687,209/18,901
  6. Step 6: Final answer
    x = 89,819.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.