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Finding the Third Proportional to 5.00 and 6.41

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Solution

The third proportional to 5.00 and 6.41 is: 8.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.00 : 6.41 = 6.41 : x
  2. Step 2: Convert to fraction form
    5.00/6.41 = 6.41/x
  3. Step 3: Cross multiply
    5.00x = 6.41 × 6.41
  4. Step 4: Simplify right side
    5.00x = 41.05
  5. Step 5: Solve for x
    x = 41.05/5.00
  6. Step 6: Final answer
    x = 8.22

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.