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Finding the Third Proportional to 27,346 and 59,067

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Solution

The third proportional to 27,346 and 59,067 is: 127,583.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,346 : 59,067 = 59,067 : x
  2. Step 2: Convert to fraction form
    27,346/59,067 = 59,067/x
  3. Step 3: Cross multiply
    27,346x = 59,067 × 59,067
  4. Step 4: Simplify right side
    27,346x = 3,488,910,489
  5. Step 5: Solve for x
    x = 3,488,910,489/27,346
  6. Step 6: Final answer
    x = 127,583.94

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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.