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Finding the Third Proportional to 27,614.25 and 43,198.31

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Solution

The third proportional to 27,614.25 and 43,198.31 is: 67,577.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,614.25 : 43,198.31 = 43,198.31 : x
  2. Step 2: Convert to fraction form
    27,614.25/43,198.31 = 43,198.31/x
  3. Step 3: Cross multiply
    27,614.25x = 43,198.31 × 43,198.31
  4. Step 4: Simplify right side
    27,614.25x = 1,866,094,202.85
  5. Step 5: Solve for x
    x = 1,866,094,202.85/27,614.25
  6. Step 6: Final answer
    x = 67,577.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.