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Finding the Third Proportional to 17.20 and 27.06

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Solution

The third proportional to 17.20 and 27.06 is: 42.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.20 : 27.06 = 27.06 : x
  2. Step 2: Convert to fraction form
    17.20/27.06 = 27.06/x
  3. Step 3: Cross multiply
    17.20x = 27.06 × 27.06
  4. Step 4: Simplify right side
    17.20x = 732.05
  5. Step 5: Solve for x
    x = 732.05/17.20
  6. Step 6: Final answer
    x = 42.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.