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Finding the Third Proportional to 36.28 and 52.97

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Solution

The third proportional to 36.28 and 52.97 is: 77.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.28 : 52.97 = 52.97 : x
  2. Step 2: Convert to fraction form
    36.28/52.97 = 52.97/x
  3. Step 3: Cross multiply
    36.28x = 52.97 × 52.97
  4. Step 4: Simplify right side
    36.28x = 2,805.69
  5. Step 5: Solve for x
    x = 2,805.69/36.28
  6. Step 6: Final answer
    x = 77.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.