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Finding the Third Proportional to 20,211 and 41,244

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Solution

The third proportional to 20,211 and 41,244 is: 84,165.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,211 : 41,244 = 41,244 : x
  2. Step 2: Convert to fraction form
    20,211/41,244 = 41,244/x
  3. Step 3: Cross multiply
    20,211x = 41,244 × 41,244
  4. Step 4: Simplify right side
    20,211x = 1,701,067,536
  5. Step 5: Solve for x
    x = 1,701,067,536/20,211
  6. Step 6: Final answer
    x = 84,165.43

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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.