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Finding the Third Proportional to 11,944.13 and 18,165.94

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Solution

The third proportional to 11,944.13 and 18,165.94 is: 27,628.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,944.13 : 18,165.94 = 18,165.94 : x
  2. Step 2: Convert to fraction form
    11,944.13/18,165.94 = 18,165.94/x
  3. Step 3: Cross multiply
    11,944.13x = 18,165.94 × 18,165.94
  4. Step 4: Simplify right side
    11,944.13x = 330,001,285.25
  5. Step 5: Solve for x
    x = 330,001,285.25/11,944.13
  6. Step 6: Final answer
    x = 27,628.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.