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Finding the Third Proportional to 34,884 and 80,001

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Solution

The third proportional to 34,884 and 80,001 is: 183,469.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,884 : 80,001 = 80,001 : x
  2. Step 2: Convert to fraction form
    34,884/80,001 = 80,001/x
  3. Step 3: Cross multiply
    34,884x = 80,001 × 80,001
  4. Step 4: Simplify right side
    34,884x = 6,400,160,001
  5. Step 5: Solve for x
    x = 6,400,160,001/34,884
  6. Step 6: Final answer
    x = 183,469.79

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.