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Finding the Third Proportional to 23,112 and 50,744

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Solution

The third proportional to 23,112 and 50,744 is: 111,411.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,112 : 50,744 = 50,744 : x
  2. Step 2: Convert to fraction form
    23,112/50,744 = 50,744/x
  3. Step 3: Cross multiply
    23,112x = 50,744 × 50,744
  4. Step 4: Simplify right side
    23,112x = 2,574,953,536
  5. Step 5: Solve for x
    x = 2,574,953,536/23,112
  6. Step 6: Final answer
    x = 111,411.97

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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.