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Finding the Third Proportional to 11,481.75 and 12,165.19

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Solution

The third proportional to 11,481.75 and 12,165.19 is: 12,889.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,481.75 : 12,165.19 = 12,165.19 : x
  2. Step 2: Convert to fraction form
    11,481.75/12,165.19 = 12,165.19/x
  3. Step 3: Cross multiply
    11,481.75x = 12,165.19 × 12,165.19
  4. Step 4: Simplify right side
    11,481.75x = 147,991,786.91
  5. Step 5: Solve for x
    x = 147,991,786.91/11,481.75
  6. Step 6: Final answer
    x = 12,889.31

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.