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Finding the Third Proportional to 22,667 and 49,367

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Solution

The third proportional to 22,667 and 49,367 is: 107,517.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,667 : 49,367 = 49,367 : x
  2. Step 2: Convert to fraction form
    22,667/49,367 = 49,367/x
  3. Step 3: Cross multiply
    22,667x = 49,367 × 49,367
  4. Step 4: Simplify right side
    22,667x = 2,437,100,689
  5. Step 5: Solve for x
    x = 2,437,100,689/22,667
  6. Step 6: Final answer
    x = 107,517.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.