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Finding the Third Proportional to 23,571 and 27,600.75

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Solution

The third proportional to 23,571 and 27,600.75 is: 32,319.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,571 : 27,600.75 = 27,600.75 : x
  2. Step 2: Convert to fraction form
    23,571/27,600.75 = 27,600.75/x
  3. Step 3: Cross multiply
    23,571x = 27,600.75 × 27,600.75
  4. Step 4: Simplify right side
    23,571x = 761,801,400.56
  5. Step 5: Solve for x
    x = 761,801,400.56/23,571
  6. Step 6: Final answer
    x = 32,319.43

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.