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Finding the Third Proportional to 9,249.19 and 13,400.44

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Solution

The third proportional to 9,249.19 and 13,400.44 is: 19,414.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.19 : 13,400.44 = 13,400.44 : x
  2. Step 2: Convert to fraction form
    9,249.19/13,400.44 = 13,400.44/x
  3. Step 3: Cross multiply
    9,249.19x = 13,400.44 × 13,400.44
  4. Step 4: Simplify right side
    9,249.19x = 179,571,725.19
  5. Step 5: Solve for x
    x = 179,571,725.19/9,249.19
  6. Step 6: Final answer
    x = 19,414.86

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.