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Finding the Third Proportional to 22,923 and 49,302

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Solution

The third proportional to 22,923 and 49,302 is: 106,037.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,923 : 49,302 = 49,302 : x
  2. Step 2: Convert to fraction form
    22,923/49,302 = 49,302/x
  3. Step 3: Cross multiply
    22,923x = 49,302 × 49,302
  4. Step 4: Simplify right side
    22,923x = 2,430,687,204
  5. Step 5: Solve for x
    x = 2,430,687,204/22,923
  6. Step 6: Final answer
    x = 106,037.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.