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Finding the Third Proportional to 22,942 and 50,394

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Solution

The third proportional to 22,942 and 50,394 is: 110,694.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,942 : 50,394 = 50,394 : x
  2. Step 2: Convert to fraction form
    22,942/50,394 = 50,394/x
  3. Step 3: Cross multiply
    22,942x = 50,394 × 50,394
  4. Step 4: Simplify right side
    22,942x = 2,539,555,236
  5. Step 5: Solve for x
    x = 2,539,555,236/22,942
  6. Step 6: Final answer
    x = 110,694.59

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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.