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Finding the Third Proportional to 3.87 and 10.16

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Solution

The third proportional to 3.87 and 10.16 is: 26.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.87 : 10.16 = 10.16 : x
  2. Step 2: Convert to fraction form
    3.87/10.16 = 10.16/x
  3. Step 3: Cross multiply
    3.87x = 10.16 × 10.16
  4. Step 4: Simplify right side
    3.87x = 103.32
  5. Step 5: Solve for x
    x = 103.32/3.87
  6. Step 6: Final answer
    x = 26.69

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.