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Finding the Third Proportional to 23,791.50 and 27,531

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Solution

The third proportional to 23,791.50 and 27,531 is: 31,858.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,791.50 : 27,531 = 27,531 : x
  2. Step 2: Convert to fraction form
    23,791.50/27,531 = 27,531/x
  3. Step 3: Cross multiply
    23,791.50x = 27,531 × 27,531
  4. Step 4: Simplify right side
    23,791.50x = 757,955,961
  5. Step 5: Solve for x
    x = 757,955,961/23,791.50
  6. Step 6: Final answer
    x = 31,858.27

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.