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Finding the Third Proportional to 22,813 and 50,067

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Solution

The third proportional to 22,813 and 50,067 is: 109,880.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,813 : 50,067 = 50,067 : x
  2. Step 2: Convert to fraction form
    22,813/50,067 = 50,067/x
  3. Step 3: Cross multiply
    22,813x = 50,067 × 50,067
  4. Step 4: Simplify right side
    22,813x = 2,506,704,489
  5. Step 5: Solve for x
    x = 2,506,704,489/22,813
  6. Step 6: Final answer
    x = 109,880.53

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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.