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Finding the Third Proportional to 9.61 and 20.82

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Solution

The third proportional to 9.61 and 20.82 is: 45.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.61 : 20.82 = 20.82 : x
  2. Step 2: Convert to fraction form
    9.61/20.82 = 20.82/x
  3. Step 3: Cross multiply
    9.61x = 20.82 × 20.82
  4. Step 4: Simplify right side
    9.61x = 433.62
  5. Step 5: Solve for x
    x = 433.62/9.61
  6. Step 6: Final answer
    x = 45.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.