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Finding the Third Proportional to 23,874 and 52,512.75

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Solution

The third proportional to 23,874 and 52,512.75 is: 115,505.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874 : 52,512.75 = 52,512.75 : x
  2. Step 2: Convert to fraction form
    23,874/52,512.75 = 52,512.75/x
  3. Step 3: Cross multiply
    23,874x = 52,512.75 × 52,512.75
  4. Step 4: Simplify right side
    23,874x = 2,757,588,912.56
  5. Step 5: Solve for x
    x = 2,757,588,912.56/23,874
  6. Step 6: Final answer
    x = 115,505.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.