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Finding the Third Proportional to 33,496 and 50,675

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Solution

The third proportional to 33,496 and 50,675 is: 76,664.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,496 : 50,675 = 50,675 : x
  2. Step 2: Convert to fraction form
    33,496/50,675 = 50,675/x
  3. Step 3: Cross multiply
    33,496x = 50,675 × 50,675
  4. Step 4: Simplify right side
    33,496x = 2,567,955,625
  5. Step 5: Solve for x
    x = 2,567,955,625/33,496
  6. Step 6: Final answer
    x = 76,664.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.