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Finding the Third Proportional to 33,642 and 76,302

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Solution

The third proportional to 33,642 and 76,302 is: 173,057.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,642 : 76,302 = 76,302 : x
  2. Step 2: Convert to fraction form
    33,642/76,302 = 76,302/x
  3. Step 3: Cross multiply
    33,642x = 76,302 × 76,302
  4. Step 4: Simplify right side
    33,642x = 5,821,995,204
  5. Step 5: Solve for x
    x = 5,821,995,204/33,642
  6. Step 6: Final answer
    x = 173,057.35

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.