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Finding the Third Proportional to 16.14 and 33.22

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Solution

The third proportional to 16.14 and 33.22 is: 68.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.14 : 33.22 = 33.22 : x
  2. Step 2: Convert to fraction form
    16.14/33.22 = 33.22/x
  3. Step 3: Cross multiply
    16.14x = 33.22 × 33.22
  4. Step 4: Simplify right side
    16.14x = 1,103.74
  5. Step 5: Solve for x
    x = 1,103.74/16.14
  6. Step 6: Final answer
    x = 68.40

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.