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Finding the Third Proportional to 12,104.44 and 16,234.49

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Solution

The third proportional to 12,104.44 and 16,234.49 is: 21,773.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,104.44 : 16,234.49 = 16,234.49 : x
  2. Step 2: Convert to fraction form
    12,104.44/16,234.49 = 16,234.49/x
  3. Step 3: Cross multiply
    12,104.44x = 16,234.49 × 16,234.49
  4. Step 4: Simplify right side
    12,104.44x = 263,558,609.75
  5. Step 5: Solve for x
    x = 263,558,609.75/12,104.44
  6. Step 6: Final answer
    x = 21,773.72

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.