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Finding the Third Proportional to 2.14 and 4.27

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Solution

The third proportional to 2.14 and 4.27 is: 8.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.14 : 4.27 = 4.27 : x
  2. Step 2: Convert to fraction form
    2.14/4.27 = 4.27/x
  3. Step 3: Cross multiply
    2.14x = 4.27 × 4.27
  4. Step 4: Simplify right side
    2.14x = 18.25
  5. Step 5: Solve for x
    x = 18.25/2.14
  6. Step 6: Final answer
    x = 8.54

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.