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Finding the Third Proportional to 17.01 and 27.05

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Solution

The third proportional to 17.01 and 27.05 is: 43.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.01 : 27.05 = 27.05 : x
  2. Step 2: Convert to fraction form
    17.01/27.05 = 27.05/x
  3. Step 3: Cross multiply
    17.01x = 27.05 × 27.05
  4. Step 4: Simplify right side
    17.01x = 731.85
  5. Step 5: Solve for x
    x = 731.85/17.01
  6. Step 6: Final answer
    x = 43.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.