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Finding the Third Proportional to 2.41 and 6.62

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Solution

The third proportional to 2.41 and 6.62 is: 18.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.41 : 6.62 = 6.62 : x
  2. Step 2: Convert to fraction form
    2.41/6.62 = 6.62/x
  3. Step 3: Cross multiply
    2.41x = 6.62 × 6.62
  4. Step 4: Simplify right side
    2.41x = 43.84
  5. Step 5: Solve for x
    x = 43.84/2.41
  6. Step 6: Final answer
    x = 18.21

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Why These Related Problems?

These problems maintain the same ratio (2.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.