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Finding the Third Proportional to 36,940 and 80,646

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Solution

The third proportional to 36,940 and 80,646 is: 176,063.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,940 : 80,646 = 80,646 : x
  2. Step 2: Convert to fraction form
    36,940/80,646 = 80,646/x
  3. Step 3: Cross multiply
    36,940x = 80,646 × 80,646
  4. Step 4: Simplify right side
    36,940x = 6,503,777,316
  5. Step 5: Solve for x
    x = 6,503,777,316/36,940
  6. Step 6: Final answer
    x = 176,063.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.