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Finding the Third Proportional to 9.14 and 16.76

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Solution

The third proportional to 9.14 and 16.76 is: 30.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.14 : 16.76 = 16.76 : x
  2. Step 2: Convert to fraction form
    9.14/16.76 = 16.76/x
  3. Step 3: Cross multiply
    9.14x = 16.76 × 16.76
  4. Step 4: Simplify right side
    9.14x = 280.90
  5. Step 5: Solve for x
    x = 280.90/9.14
  6. Step 6: Final answer
    x = 30.73

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.