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Finding the Third Proportional to 11,076.75 and 12,183.75

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Solution

The third proportional to 11,076.75 and 12,183.75 is: 13,401.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,076.75 : 12,183.75 = 12,183.75 : x
  2. Step 2: Convert to fraction form
    11,076.75/12,183.75 = 12,183.75/x
  3. Step 3: Cross multiply
    11,076.75x = 12,183.75 × 12,183.75
  4. Step 4: Simplify right side
    11,076.75x = 148,443,764.06
  5. Step 5: Solve for x
    x = 148,443,764.06/11,076.75
  6. Step 6: Final answer
    x = 13,401.38

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.