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Finding the Third Proportional to 38,881 and 80,354

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Solution

The third proportional to 38,881 and 80,354 is: 166,064.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,881 : 80,354 = 80,354 : x
  2. Step 2: Convert to fraction form
    38,881/80,354 = 80,354/x
  3. Step 3: Cross multiply
    38,881x = 80,354 × 80,354
  4. Step 4: Simplify right side
    38,881x = 6,456,765,316
  5. Step 5: Solve for x
    x = 6,456,765,316/38,881
  6. Step 6: Final answer
    x = 166,064.80

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.