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Finding the Third Proportional to 22,724 and 49,812

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Solution

The third proportional to 22,724 and 49,812 is: 109,190.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,724 : 49,812 = 49,812 : x
  2. Step 2: Convert to fraction form
    22,724/49,812 = 49,812/x
  3. Step 3: Cross multiply
    22,724x = 49,812 × 49,812
  4. Step 4: Simplify right side
    22,724x = 2,481,235,344
  5. Step 5: Solve for x
    x = 2,481,235,344/22,724
  6. Step 6: Final answer
    x = 109,190.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.