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Finding the Third Proportional to 20.75 and 36.69

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Solution

The third proportional to 20.75 and 36.69 is: 64.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.75 : 36.69 = 36.69 : x
  2. Step 2: Convert to fraction form
    20.75/36.69 = 36.69/x
  3. Step 3: Cross multiply
    20.75x = 36.69 × 36.69
  4. Step 4: Simplify right side
    20.75x = 1,345.97
  5. Step 5: Solve for x
    x = 1,345.97/20.75
  6. Step 6: Final answer
    x = 64.87

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.