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Finding the Third Proportional to 16.14 and 33.33

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Solution

The third proportional to 16.14 and 33.33 is: 68.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.14 : 33.33 = 33.33 : x
  2. Step 2: Convert to fraction form
    16.14/33.33 = 33.33/x
  3. Step 3: Cross multiply
    16.14x = 33.33 × 33.33
  4. Step 4: Simplify right side
    16.14x = 1,110.76
  5. Step 5: Solve for x
    x = 1,110.76/16.14
  6. Step 6: Final answer
    x = 68.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.