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Finding the Third Proportional to 36,941 and 80,806

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Solution

The third proportional to 36,941 and 80,806 is: 176,757.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,941 : 80,806 = 80,806 : x
  2. Step 2: Convert to fraction form
    36,941/80,806 = 80,806/x
  3. Step 3: Cross multiply
    36,941x = 80,806 × 80,806
  4. Step 4: Simplify right side
    36,941x = 6,529,609,636
  5. Step 5: Solve for x
    x = 6,529,609,636/36,941
  6. Step 6: Final answer
    x = 176,757.79

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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.