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Finding the Third Proportional to 2.94 and 6.44

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Solution

The third proportional to 2.94 and 6.44 is: 14.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.94 : 6.44 = 6.44 : x
  2. Step 2: Convert to fraction form
    2.94/6.44 = 6.44/x
  3. Step 3: Cross multiply
    2.94x = 6.44 × 6.44
  4. Step 4: Simplify right side
    2.94x = 41.44
  5. Step 5: Solve for x
    x = 41.44/2.94
  6. Step 6: Final answer
    x = 14.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.