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Finding the Third Proportional to 23,672 and 50,227

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Solution

The third proportional to 23,672 and 50,227 is: 106,571.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,672 : 50,227 = 50,227 : x
  2. Step 2: Convert to fraction form
    23,672/50,227 = 50,227/x
  3. Step 3: Cross multiply
    23,672x = 50,227 × 50,227
  4. Step 4: Simplify right side
    23,672x = 2,522,751,529
  5. Step 5: Solve for x
    x = 2,522,751,529/23,672
  6. Step 6: Final answer
    x = 106,571.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.