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Finding the Third Proportional to 8.34 and 11.96

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Solution

The third proportional to 8.34 and 11.96 is: 17.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.34 : 11.96 = 11.96 : x
  2. Step 2: Convert to fraction form
    8.34/11.96 = 11.96/x
  3. Step 3: Cross multiply
    8.34x = 11.96 × 11.96
  4. Step 4: Simplify right side
    8.34x = 142.94
  5. Step 5: Solve for x
    x = 142.94/8.34
  6. Step 6: Final answer
    x = 17.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.