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Finding the Third Proportional to 33,962 and 80,293

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Solution

The third proportional to 33,962 and 80,293 is: 189,828.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,962 : 80,293 = 80,293 : x
  2. Step 2: Convert to fraction form
    33,962/80,293 = 80,293/x
  3. Step 3: Cross multiply
    33,962x = 80,293 × 80,293
  4. Step 4: Simplify right side
    33,962x = 6,446,965,849
  5. Step 5: Solve for x
    x = 6,446,965,849/33,962
  6. Step 6: Final answer
    x = 189,828.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.