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Finding the Third Proportional to 9.14 and 17.27

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Solution

The third proportional to 9.14 and 17.27 is: 32.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.14 : 17.27 = 17.27 : x
  2. Step 2: Convert to fraction form
    9.14/17.27 = 17.27/x
  3. Step 3: Cross multiply
    9.14x = 17.27 × 17.27
  4. Step 4: Simplify right side
    9.14x = 298.18
  5. Step 5: Solve for x
    x = 298.18/9.14
  6. Step 6: Final answer
    x = 32.62

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.