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Finding the Third Proportional to 20,199 and 41,377

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Solution

The third proportional to 20,199 and 41,377 is: 84,759.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199 : 41,377 = 41,377 : x
  2. Step 2: Convert to fraction form
    20,199/41,377 = 41,377/x
  3. Step 3: Cross multiply
    20,199x = 41,377 × 41,377
  4. Step 4: Simplify right side
    20,199x = 1,712,056,129
  5. Step 5: Solve for x
    x = 1,712,056,129/20,199
  6. Step 6: Final answer
    x = 84,759.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.