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Finding the Third Proportional to 2.82 and 6.48

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Solution

The third proportional to 2.82 and 6.48 is: 14.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.82 : 6.48 = 6.48 : x
  2. Step 2: Convert to fraction form
    2.82/6.48 = 6.48/x
  3. Step 3: Cross multiply
    2.82x = 6.48 × 6.48
  4. Step 4: Simplify right side
    2.82x = 42.02
  5. Step 5: Solve for x
    x = 42.02/2.82
  6. Step 6: Final answer
    x = 14.91

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.