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Finding the Third Proportional to 34,549 and 52,825

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Solution

The third proportional to 34,549 and 52,825 is: 80,768.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,549 : 52,825 = 52,825 : x
  2. Step 2: Convert to fraction form
    34,549/52,825 = 52,825/x
  3. Step 3: Cross multiply
    34,549x = 52,825 × 52,825
  4. Step 4: Simplify right side
    34,549x = 2,790,480,625
  5. Step 5: Solve for x
    x = 2,790,480,625/34,549
  6. Step 6: Final answer
    x = 80,768.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.