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Finding the Third Proportional to 36.75 and 54.94

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Solution

The third proportional to 36.75 and 54.94 is: 82.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.75 : 54.94 = 54.94 : x
  2. Step 2: Convert to fraction form
    36.75/54.94 = 54.94/x
  3. Step 3: Cross multiply
    36.75x = 54.94 × 54.94
  4. Step 4: Simplify right side
    36.75x = 3,018.13
  5. Step 5: Solve for x
    x = 3,018.13/36.75
  6. Step 6: Final answer
    x = 82.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.