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Finding the Third Proportional to 34,092 and 52,794

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Solution

The third proportional to 34,092 and 52,794 is: 81,755.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,092 : 52,794 = 52,794 : x
  2. Step 2: Convert to fraction form
    34,092/52,794 = 52,794/x
  3. Step 3: Cross multiply
    34,092x = 52,794 × 52,794
  4. Step 4: Simplify right side
    34,092x = 2,787,206,436
  5. Step 5: Solve for x
    x = 2,787,206,436/34,092
  6. Step 6: Final answer
    x = 81,755.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.