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Finding the Third Proportional to 11,794.36 and 18,102.23

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Solution

The third proportional to 11,794.36 and 18,102.23 is: 27,783.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.36 : 18,102.23 = 18,102.23 : x
  2. Step 2: Convert to fraction form
    11,794.36/18,102.23 = 18,102.23/x
  3. Step 3: Cross multiply
    11,794.36x = 18,102.23 × 18,102.23
  4. Step 4: Simplify right side
    11,794.36x = 327,690,889.37
  5. Step 5: Solve for x
    x = 327,690,889.37/11,794.36
  6. Step 6: Final answer
    x = 27,783.70

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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.