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Finding the Third Proportional to 33.50 and 82.94

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Solution

The third proportional to 33.50 and 82.94 is: 205.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.50 : 82.94 = 82.94 : x
  2. Step 2: Convert to fraction form
    33.50/82.94 = 82.94/x
  3. Step 3: Cross multiply
    33.50x = 82.94 × 82.94
  4. Step 4: Simplify right side
    33.50x = 6,878.63
  5. Step 5: Solve for x
    x = 6,878.63/33.50
  6. Step 6: Final answer
    x = 205.33

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.