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Finding the Third Proportional to 9.82 and 14.92

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Solution

The third proportional to 9.82 and 14.92 is: 22.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.82 : 14.92 = 14.92 : x
  2. Step 2: Convert to fraction form
    9.82/14.92 = 14.92/x
  3. Step 3: Cross multiply
    9.82x = 14.92 × 14.92
  4. Step 4: Simplify right side
    9.82x = 222.72
  5. Step 5: Solve for x
    x = 222.72/9.82
  6. Step 6: Final answer
    x = 22.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.