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Finding the Third Proportional to 36.05 and 77.91

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Solution

The third proportional to 36.05 and 77.91 is: 168.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.05 : 77.91 = 77.91 : x
  2. Step 2: Convert to fraction form
    36.05/77.91 = 77.91/x
  3. Step 3: Cross multiply
    36.05x = 77.91 × 77.91
  4. Step 4: Simplify right side
    36.05x = 6,069.38
  5. Step 5: Solve for x
    x = 6,069.38/36.05
  6. Step 6: Final answer
    x = 168.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.