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Finding the Third Proportional to 37,954 and 80,836

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Solution

The third proportional to 37,954 and 80,836 is: 172,167.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,954 : 80,836 = 80,836 : x
  2. Step 2: Convert to fraction form
    37,954/80,836 = 80,836/x
  3. Step 3: Cross multiply
    37,954x = 80,836 × 80,836
  4. Step 4: Simplify right side
    37,954x = 6,534,458,896
  5. Step 5: Solve for x
    x = 6,534,458,896/37,954
  6. Step 6: Final answer
    x = 172,167.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.