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Finding the Third Proportional to 20,498 and 41,956

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Solution

The third proportional to 20,498 and 41,956 is: 85,876.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,498 : 41,956 = 41,956 : x
  2. Step 2: Convert to fraction form
    20,498/41,956 = 41,956/x
  3. Step 3: Cross multiply
    20,498x = 41,956 × 41,956
  4. Step 4: Simplify right side
    20,498x = 1,760,305,936
  5. Step 5: Solve for x
    x = 1,760,305,936/20,498
  6. Step 6: Final answer
    x = 85,876.96

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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.