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Finding the Third Proportional to 34,067 and 44,980

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Solution

The third proportional to 34,067 and 44,980 is: 59,388.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,067 : 44,980 = 44,980 : x
  2. Step 2: Convert to fraction form
    34,067/44,980 = 44,980/x
  3. Step 3: Cross multiply
    34,067x = 44,980 × 44,980
  4. Step 4: Simplify right side
    34,067x = 2,023,200,400
  5. Step 5: Solve for x
    x = 2,023,200,400/34,067
  6. Step 6: Final answer
    x = 59,388.86

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.