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Finding the Third Proportional to 36,982 and 80,876

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Solution

The third proportional to 36,982 and 80,876 is: 176,867.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,982 : 80,876 = 80,876 : x
  2. Step 2: Convert to fraction form
    36,982/80,876 = 80,876/x
  3. Step 3: Cross multiply
    36,982x = 80,876 × 80,876
  4. Step 4: Simplify right side
    36,982x = 6,540,927,376
  5. Step 5: Solve for x
    x = 6,540,927,376/36,982
  6. Step 6: Final answer
    x = 176,867.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.