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Finding the Third Proportional to 8.14 and 12.08

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Solution

The third proportional to 8.14 and 12.08 is: 17.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.14 : 12.08 = 12.08 : x
  2. Step 2: Convert to fraction form
    8.14/12.08 = 12.08/x
  3. Step 3: Cross multiply
    8.14x = 12.08 × 12.08
  4. Step 4: Simplify right side
    8.14x = 145.93
  5. Step 5: Solve for x
    x = 145.93/8.14
  6. Step 6: Final answer
    x = 17.94

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.