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Finding the Third Proportional to 36.42 and 82.55

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Solution

The third proportional to 36.42 and 82.55 is: 187.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.42 : 82.55 = 82.55 : x
  2. Step 2: Convert to fraction form
    36.42/82.55 = 82.55/x
  3. Step 3: Cross multiply
    36.42x = 82.55 × 82.55
  4. Step 4: Simplify right side
    36.42x = 6,813.99
  5. Step 5: Solve for x
    x = 6,813.99/36.42
  6. Step 6: Final answer
    x = 187.09

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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.