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Finding the Third Proportional to 20,187 and 41,193

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Solution

The third proportional to 20,187 and 41,193 is: 84,057.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,187 : 41,193 = 41,193 : x
  2. Step 2: Convert to fraction form
    20,187/41,193 = 41,193/x
  3. Step 3: Cross multiply
    20,187x = 41,193 × 41,193
  4. Step 4: Simplify right side
    20,187x = 1,696,863,249
  5. Step 5: Solve for x
    x = 1,696,863,249/20,187
  6. Step 6: Final answer
    x = 84,057.23

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.