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Finding the Third Proportional to 17,640.75 and 27,023.25

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Solution

The third proportional to 17,640.75 and 27,023.25 is: 41,395.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,640.75 : 27,023.25 = 27,023.25 : x
  2. Step 2: Convert to fraction form
    17,640.75/27,023.25 = 27,023.25/x
  3. Step 3: Cross multiply
    17,640.75x = 27,023.25 × 27,023.25
  4. Step 4: Simplify right side
    17,640.75x = 730,256,040.56
  5. Step 5: Solve for x
    x = 730,256,040.56/17,640.75
  6. Step 6: Final answer
    x = 41,395.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.