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Finding the Third Proportional to 11,879.71 and 27,623.33

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Solution

The third proportional to 11,879.71 and 27,623.33 is: 64,231.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,879.71 : 27,623.33 = 27,623.33 : x
  2. Step 2: Convert to fraction form
    11,879.71/27,623.33 = 27,623.33/x
  3. Step 3: Cross multiply
    11,879.71x = 27,623.33 × 27,623.33
  4. Step 4: Simplify right side
    11,879.71x = 763,048,553.44
  5. Step 5: Solve for x
    x = 763,048,553.44/11,879.71
  6. Step 6: Final answer
    x = 64,231.24

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.