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Finding the Third Proportional to 41,691 and 84,930

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Solution

The third proportional to 41,691 and 84,930 is: 173,013.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,691 : 84,930 = 84,930 : x
  2. Step 2: Convert to fraction form
    41,691/84,930 = 84,930/x
  3. Step 3: Cross multiply
    41,691x = 84,930 × 84,930
  4. Step 4: Simplify right side
    41,691x = 7,213,104,900
  5. Step 5: Solve for x
    x = 7,213,104,900/41,691
  6. Step 6: Final answer
    x = 173,013.48

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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.