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Finding the Third Proportional to 6.14 and 9.14

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Solution

The third proportional to 6.14 and 9.14 is: 13.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.14 : 9.14 = 9.14 : x
  2. Step 2: Convert to fraction form
    6.14/9.14 = 9.14/x
  3. Step 3: Cross multiply
    6.14x = 9.14 × 9.14
  4. Step 4: Simplify right side
    6.14x = 83.55
  5. Step 5: Solve for x
    x = 83.55/6.14
  6. Step 6: Final answer
    x = 13.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.