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Finding the Third Proportional to 28,539 and 59,067

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Solution

The third proportional to 28,539 and 59,067 is: 122,250.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,539 : 59,067 = 59,067 : x
  2. Step 2: Convert to fraction form
    28,539/59,067 = 59,067/x
  3. Step 3: Cross multiply
    28,539x = 59,067 × 59,067
  4. Step 4: Simplify right side
    28,539x = 3,488,910,489
  5. Step 5: Solve for x
    x = 3,488,910,489/28,539
  6. Step 6: Final answer
    x = 122,250.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.