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Finding the Third Proportional to 2.94 and 6.14

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Solution

The third proportional to 2.94 and 6.14 is: 12.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.94 : 6.14 = 6.14 : x
  2. Step 2: Convert to fraction form
    2.94/6.14 = 6.14/x
  3. Step 3: Cross multiply
    2.94x = 6.14 × 6.14
  4. Step 4: Simplify right side
    2.94x = 37.70
  5. Step 5: Solve for x
    x = 37.70/2.94
  6. Step 6: Final answer
    x = 12.84

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.