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Finding the Third Proportional to 0.94 and 1.97

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Solution

The third proportional to 0.94 and 1.97 is: 4.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.94 : 1.97 = 1.97 : x
  2. Step 2: Convert to fraction form
    0.94/1.97 = 1.97/x
  3. Step 3: Cross multiply
    0.94x = 1.97 × 1.97
  4. Step 4: Simplify right side
    0.94x = 3.88
  5. Step 5: Solve for x
    x = 3.88/0.94
  6. Step 6: Final answer
    x = 4.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.