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Finding the Third Proportional to 17.06 and 33.27

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Solution

The third proportional to 17.06 and 33.27 is: 64.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.06 : 33.27 = 33.27 : x
  2. Step 2: Convert to fraction form
    17.06/33.27 = 33.27/x
  3. Step 3: Cross multiply
    17.06x = 33.27 × 33.27
  4. Step 4: Simplify right side
    17.06x = 1,106.60
  5. Step 5: Solve for x
    x = 1,106.60/17.06
  6. Step 6: Final answer
    x = 64.86

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.