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Finding the Third Proportional to 1.87 and 3.92

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Solution

The third proportional to 1.87 and 3.92 is: 8.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.87 : 3.92 = 3.92 : x
  2. Step 2: Convert to fraction form
    1.87/3.92 = 3.92/x
  3. Step 3: Cross multiply
    1.87x = 3.92 × 3.92
  4. Step 4: Simplify right side
    1.87x = 15.35
  5. Step 5: Solve for x
    x = 15.35/1.87
  6. Step 6: Final answer
    x = 8.22

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