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Finding the Third Proportional to 22,869 and 49,747

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Solution

The third proportional to 22,869 and 49,747 is: 108,214.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,869 : 49,747 = 49,747 : x
  2. Step 2: Convert to fraction form
    22,869/49,747 = 49,747/x
  3. Step 3: Cross multiply
    22,869x = 49,747 × 49,747
  4. Step 4: Simplify right side
    22,869x = 2,474,764,009
  5. Step 5: Solve for x
    x = 2,474,764,009/22,869
  6. Step 6: Final answer
    x = 108,214.79

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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.