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Finding the Third Proportional to 2.81 and 6.47

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Solution

The third proportional to 2.81 and 6.47 is: 14.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.81 : 6.47 = 6.47 : x
  2. Step 2: Convert to fraction form
    2.81/6.47 = 6.47/x
  3. Step 3: Cross multiply
    2.81x = 6.47 × 6.47
  4. Step 4: Simplify right side
    2.81x = 41.84
  5. Step 5: Solve for x
    x = 41.84/2.81
  6. Step 6: Final answer
    x = 14.88

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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.