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Finding the Third Proportional to 3.04 and 6.47

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Solution

The third proportional to 3.04 and 6.47 is: 13.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.04 : 6.47 = 6.47 : x
  2. Step 2: Convert to fraction form
    3.04/6.47 = 6.47/x
  3. Step 3: Cross multiply
    3.04x = 6.47 × 6.47
  4. Step 4: Simplify right side
    3.04x = 41.81
  5. Step 5: Solve for x
    x = 41.81/3.04
  6. Step 6: Final answer
    x = 13.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.