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Finding the Third Proportional to 27,067 and 41,628

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Solution

The third proportional to 27,067 and 41,628 is: 64,022.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,067 : 41,628 = 41,628 : x
  2. Step 2: Convert to fraction form
    27,067/41,628 = 41,628/x
  3. Step 3: Cross multiply
    27,067x = 41,628 × 41,628
  4. Step 4: Simplify right side
    27,067x = 1,732,890,384
  5. Step 5: Solve for x
    x = 1,732,890,384/27,067
  6. Step 6: Final answer
    x = 64,022.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.