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Finding the Third Proportional to 33,960 and 75,696

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Solution

The third proportional to 33,960 and 75,696 is: 168,724.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,960 : 75,696 = 75,696 : x
  2. Step 2: Convert to fraction form
    33,960/75,696 = 75,696/x
  3. Step 3: Cross multiply
    33,960x = 75,696 × 75,696
  4. Step 4: Simplify right side
    33,960x = 5,729,884,416
  5. Step 5: Solve for x
    x = 5,729,884,416/33,960
  6. Step 6: Final answer
    x = 168,724.51

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.