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Finding the Third Proportional to 24,181 and 52,512.75

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Solution

The third proportional to 24,181 and 52,512.75 is: 114,039.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,181 : 52,512.75 = 52,512.75 : x
  2. Step 2: Convert to fraction form
    24,181/52,512.75 = 52,512.75/x
  3. Step 3: Cross multiply
    24,181x = 52,512.75 × 52,512.75
  4. Step 4: Simplify right side
    24,181x = 2,757,588,912.56
  5. Step 5: Solve for x
    x = 2,757,588,912.56/24,181
  6. Step 6: Final answer
    x = 114,039.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.