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Finding the Third Proportional to 36.14 and 54.28

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Solution

The third proportional to 36.14 and 54.28 is: 81.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.14 : 54.28 = 54.28 : x
  2. Step 2: Convert to fraction form
    36.14/54.28 = 54.28/x
  3. Step 3: Cross multiply
    36.14x = 54.28 × 54.28
  4. Step 4: Simplify right side
    36.14x = 2,946.45
  5. Step 5: Solve for x
    x = 2,946.45/36.14
  6. Step 6: Final answer
    x = 81.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.