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Finding the Third Proportional to 36.52 and 77.95

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Solution

The third proportional to 36.52 and 77.95 is: 166.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.52 : 77.95 = 77.95 : x
  2. Step 2: Convert to fraction form
    36.52/77.95 = 77.95/x
  3. Step 3: Cross multiply
    36.52x = 77.95 × 77.95
  4. Step 4: Simplify right side
    36.52x = 6,076.69
  5. Step 5: Solve for x
    x = 6,076.69/36.52
  6. Step 6: Final answer
    x = 166.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.