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Finding the Third Proportional to 11,809.13 and 18,027.56

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Solution

The third proportional to 11,809.13 and 18,027.56 is: 27,520.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.13 : 18,027.56 = 18,027.56 : x
  2. Step 2: Convert to fraction form
    11,809.13/18,027.56 = 18,027.56/x
  3. Step 3: Cross multiply
    11,809.13x = 18,027.56 × 18,027.56
  4. Step 4: Simplify right side
    11,809.13x = 324,993,009.69
  5. Step 5: Solve for x
    x = 324,993,009.69/11,809.13
  6. Step 6: Final answer
    x = 27,520.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.