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Finding the Third Proportional to 16.50 and 21.69

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Solution

The third proportional to 16.50 and 21.69 is: 28.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.50 : 21.69 = 21.69 : x
  2. Step 2: Convert to fraction form
    16.50/21.69 = 21.69/x
  3. Step 3: Cross multiply
    16.50x = 21.69 × 21.69
  4. Step 4: Simplify right side
    16.50x = 470.35
  5. Step 5: Solve for x
    x = 470.35/16.50
  6. Step 6: Final answer
    x = 28.51

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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.