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Finding the Third Proportional to 12,791.25 and 27,359.44

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Solution

The third proportional to 12,791.25 and 27,359.44 is: 58,519.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,791.25 : 27,359.44 = 27,359.44 : x
  2. Step 2: Convert to fraction form
    12,791.25/27,359.44 = 27,359.44/x
  3. Step 3: Cross multiply
    12,791.25x = 27,359.44 × 27,359.44
  4. Step 4: Simplify right side
    12,791.25x = 748,538,820.32
  5. Step 5: Solve for x
    x = 748,538,820.32/12,791.25
  6. Step 6: Final answer
    x = 58,519.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.