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Finding the Third Proportional to 12.75 and 16.69

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Solution

The third proportional to 12.75 and 16.69 is: 21.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.75 : 16.69 = 16.69 : x
  2. Step 2: Convert to fraction form
    12.75/16.69 = 16.69/x
  3. Step 3: Cross multiply
    12.75x = 16.69 × 16.69
  4. Step 4: Simplify right side
    12.75x = 278.47
  5. Step 5: Solve for x
    x = 278.47/12.75
  6. Step 6: Final answer
    x = 21.84

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.