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Finding the Third Proportional to 22,463 and 49,330

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Solution

The third proportional to 22,463 and 49,330 is: 108,331.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,463 : 49,330 = 49,330 : x
  2. Step 2: Convert to fraction form
    22,463/49,330 = 49,330/x
  3. Step 3: Cross multiply
    22,463x = 49,330 × 49,330
  4. Step 4: Simplify right side
    22,463x = 2,433,448,900
  5. Step 5: Solve for x
    x = 2,433,448,900/22,463
  6. Step 6: Final answer
    x = 108,331.43

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Why These Related Problems?

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