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Finding the Third Proportional to 37,595 and 81,067

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Solution

The third proportional to 37,595 and 81,067 is: 174,806.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,595 : 81,067 = 81,067 : x
  2. Step 2: Convert to fraction form
    37,595/81,067 = 81,067/x
  3. Step 3: Cross multiply
    37,595x = 81,067 × 81,067
  4. Step 4: Simplify right side
    37,595x = 6,571,858,489
  5. Step 5: Solve for x
    x = 6,571,858,489/37,595
  6. Step 6: Final answer
    x = 174,806.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.