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Finding the Third Proportional to 1.92 and 4.02

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Solution

The third proportional to 1.92 and 4.02 is: 8.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.92 : 4.02 = 4.02 : x
  2. Step 2: Convert to fraction form
    1.92/4.02 = 4.02/x
  3. Step 3: Cross multiply
    1.92x = 4.02 × 4.02
  4. Step 4: Simplify right side
    1.92x = 16.13
  5. Step 5: Solve for x
    x = 16.13/1.92
  6. Step 6: Final answer
    x = 8.42

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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.