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Finding the Third Proportional to 33,548 and 50,398

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Solution

The third proportional to 33,548 and 50,398 is: 75,711.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,548 : 50,398 = 50,398 : x
  2. Step 2: Convert to fraction form
    33,548/50,398 = 50,398/x
  3. Step 3: Cross multiply
    33,548x = 50,398 × 50,398
  4. Step 4: Simplify right side
    33,548x = 2,539,958,404
  5. Step 5: Solve for x
    x = 2,539,958,404/33,548
  6. Step 6: Final answer
    x = 75,711.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.