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Finding the Third Proportional to 34,310.25 and 54,791.44

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Solution

The third proportional to 34,310.25 and 54,791.44 is: 87,498.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,310.25 : 54,791.44 = 54,791.44 : x
  2. Step 2: Convert to fraction form
    34,310.25/54,791.44 = 54,791.44/x
  3. Step 3: Cross multiply
    34,310.25x = 54,791.44 × 54,791.44
  4. Step 4: Simplify right side
    34,310.25x = 3,002,101,623.32
  5. Step 5: Solve for x
    x = 3,002,101,623.32/34,310.25
  6. Step 6: Final answer
    x = 87,498.68

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.