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Finding the Third Proportional to 2.39 and 6.27

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Solution

The third proportional to 2.39 and 6.27 is: 16.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.39 : 6.27 = 6.27 : x
  2. Step 2: Convert to fraction form
    2.39/6.27 = 6.27/x
  3. Step 3: Cross multiply
    2.39x = 6.27 × 6.27
  4. Step 4: Simplify right side
    2.39x = 39.35
  5. Step 5: Solve for x
    x = 39.35/2.39
  6. Step 6: Final answer
    x = 16.47

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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.