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Finding the Third Proportional to 1.94 and 4.12

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Solution

The third proportional to 1.94 and 4.12 is: 8.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.94 : 4.12 = 4.12 : x
  2. Step 2: Convert to fraction form
    1.94/4.12 = 4.12/x
  3. Step 3: Cross multiply
    1.94x = 4.12 × 4.12
  4. Step 4: Simplify right side
    1.94x = 16.99
  5. Step 5: Solve for x
    x = 16.99/1.94
  6. Step 6: Final answer
    x = 8.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.