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Finding the Third Proportional to 33.94 and 79.97

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Solution

The third proportional to 33.94 and 79.97 is: 188.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.94 : 79.97 = 79.97 : x
  2. Step 2: Convert to fraction form
    33.94/79.97 = 79.97/x
  3. Step 3: Cross multiply
    33.94x = 79.97 × 79.97
  4. Step 4: Simplify right side
    33.94x = 6,395.00
  5. Step 5: Solve for x
    x = 6,395.00/33.94
  6. Step 6: Final answer
    x = 188.43

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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.