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Finding the Third Proportional to 36.28 and 84.66

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Solution

The third proportional to 36.28 and 84.66 is: 197.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.28 : 84.66 = 84.66 : x
  2. Step 2: Convert to fraction form
    36.28/84.66 = 84.66/x
  3. Step 3: Cross multiply
    36.28x = 84.66 × 84.66
  4. Step 4: Simplify right side
    36.28x = 7,166.68
  5. Step 5: Solve for x
    x = 7,166.68/36.28
  6. Step 6: Final answer
    x = 197.53

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.