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Finding the Third Proportional to 2.65 and 6.27

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Solution

The third proportional to 2.65 and 6.27 is: 14.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.65 : 6.27 = 6.27 : x
  2. Step 2: Convert to fraction form
    2.65/6.27 = 6.27/x
  3. Step 3: Cross multiply
    2.65x = 6.27 × 6.27
  4. Step 4: Simplify right side
    2.65x = 39.30
  5. Step 5: Solve for x
    x = 39.30/2.65
  6. Step 6: Final answer
    x = 14.83

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.