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Finding the Third Proportional to 7.68 and 18.21

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Solution

The third proportional to 7.68 and 18.21 is: 43.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.68 : 18.21 = 18.21 : x
  2. Step 2: Convert to fraction form
    7.68/18.21 = 18.21/x
  3. Step 3: Cross multiply
    7.68x = 18.21 × 18.21
  4. Step 4: Simplify right side
    7.68x = 331.64
  5. Step 5: Solve for x
    x = 331.64/7.68
  6. Step 6: Final answer
    x = 43.17

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.