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Finding the Third Proportional to 38,067 and 91,596.75

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Solution

The third proportional to 38,067 and 91,596.75 is: 220,399.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,067 : 91,596.75 = 91,596.75 : x
  2. Step 2: Convert to fraction form
    38,067/91,596.75 = 91,596.75/x
  3. Step 3: Cross multiply
    38,067x = 91,596.75 × 91,596.75
  4. Step 4: Simplify right side
    38,067x = 8,389,964,610.56
  5. Step 5: Solve for x
    x = 8,389,964,610.56/38,067
  6. Step 6: Final answer
    x = 220,399.94

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.