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Finding the Third Proportional to 9,408.66 and 14,067.42

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Solution

The third proportional to 9,408.66 and 14,067.42 is: 21,033.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.66 : 14,067.42 = 14,067.42 : x
  2. Step 2: Convert to fraction form
    9,408.66/14,067.42 = 14,067.42/x
  3. Step 3: Cross multiply
    9,408.66x = 14,067.42 × 14,067.42
  4. Step 4: Simplify right side
    9,408.66x = 197,892,358.21
  5. Step 5: Solve for x
    x = 197,892,358.21/9,408.66
  6. Step 6: Final answer
    x = 21,033.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.