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Finding the Third Proportional to 9.42 and 13.24

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Solution

The third proportional to 9.42 and 13.24 is: 18.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.42 : 13.24 = 13.24 : x
  2. Step 2: Convert to fraction form
    9.42/13.24 = 13.24/x
  3. Step 3: Cross multiply
    9.42x = 13.24 × 13.24
  4. Step 4: Simplify right side
    9.42x = 175.42
  5. Step 5: Solve for x
    x = 175.42/9.42
  6. Step 6: Final answer
    x = 18.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.