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Finding the Third Proportional to 14,183.44 and 22,135.78

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Solution

The third proportional to 14,183.44 and 22,135.78 is: 34,546.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,183.44 : 22,135.78 = 22,135.78 : x
  2. Step 2: Convert to fraction form
    14,183.44/22,135.78 = 22,135.78/x
  3. Step 3: Cross multiply
    14,183.44x = 22,135.78 × 22,135.78
  4. Step 4: Simplify right side
    14,183.44x = 489,992,811.55
  5. Step 5: Solve for x
    x = 489,992,811.55/14,183.44
  6. Step 6: Final answer
    x = 34,546.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.