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Finding the Third Proportional to 27,801 and 43,112

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Solution

The third proportional to 27,801 and 43,112 is: 66,855.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,801 : 43,112 = 43,112 : x
  2. Step 2: Convert to fraction form
    27,801/43,112 = 43,112/x
  3. Step 3: Cross multiply
    27,801x = 43,112 × 43,112
  4. Step 4: Simplify right side
    27,801x = 1,858,644,544
  5. Step 5: Solve for x
    x = 1,858,644,544/27,801
  6. Step 6: Final answer
    x = 66,855.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.