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Finding the Third Proportional to 10.96 and 30.14

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Solution

The third proportional to 10.96 and 30.14 is: 82.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.96 : 30.14 = 30.14 : x
  2. Step 2: Convert to fraction form
    10.96/30.14 = 30.14/x
  3. Step 3: Cross multiply
    10.96x = 30.14 × 30.14
  4. Step 4: Simplify right side
    10.96x = 908.37
  5. Step 5: Solve for x
    x = 908.37/10.96
  6. Step 6: Final answer
    x = 82.88

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Why These Related Problems?

These problems maintain the same ratio (2.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.