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Finding the Third Proportional to 1.94 and 4.09

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Solution

The third proportional to 1.94 and 4.09 is: 8.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.94 : 4.09 = 4.09 : x
  2. Step 2: Convert to fraction form
    1.94/4.09 = 4.09/x
  3. Step 3: Cross multiply
    1.94x = 4.09 × 4.09
  4. Step 4: Simplify right side
    1.94x = 16.69
  5. Step 5: Solve for x
    x = 16.69/1.94
  6. Step 6: Final answer
    x = 8.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.