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Finding the Third Proportional to 4,408 and 11,992

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Solution

The third proportional to 4,408 and 11,992 is: 32,624.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,408 : 11,992 = 11,992 : x
  2. Step 2: Convert to fraction form
    4,408/11,992 = 11,992/x
  3. Step 3: Cross multiply
    4,408x = 11,992 × 11,992
  4. Step 4: Simplify right side
    4,408x = 143,808,064
  5. Step 5: Solve for x
    x = 143,808,064/4,408
  6. Step 6: Final answer
    x = 32,624.33

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.