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Finding the Third Proportional to 11,274.75 and 13,110.75

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Solution

The third proportional to 11,274.75 and 13,110.75 is: 15,245.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,274.75 : 13,110.75 = 13,110.75 : x
  2. Step 2: Convert to fraction form
    11,274.75/13,110.75 = 13,110.75/x
  3. Step 3: Cross multiply
    11,274.75x = 13,110.75 × 13,110.75
  4. Step 4: Simplify right side
    11,274.75x = 171,891,765.56
  5. Step 5: Solve for x
    x = 171,891,765.56/11,274.75
  6. Step 6: Final answer
    x = 15,245.73

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.