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Finding the Third Proportional to 14.11 and 33.28

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Solution

The third proportional to 14.11 and 33.28 is: 78.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.11 : 33.28 = 33.28 : x
  2. Step 2: Convert to fraction form
    14.11/33.28 = 33.28/x
  3. Step 3: Cross multiply
    14.11x = 33.28 × 33.28
  4. Step 4: Simplify right side
    14.11x = 1,107.41
  5. Step 5: Solve for x
    x = 1,107.41/14.11
  6. Step 6: Final answer
    x = 78.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.