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Finding the Third Proportional to 11,556.56 and 23,659.31

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Solution

The third proportional to 11,556.56 and 23,659.31 is: 48,436.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,556.56 : 23,659.31 = 23,659.31 : x
  2. Step 2: Convert to fraction form
    11,556.56/23,659.31 = 23,659.31/x
  3. Step 3: Cross multiply
    11,556.56x = 23,659.31 × 23,659.31
  4. Step 4: Simplify right side
    11,556.56x = 559,763,067.97
  5. Step 5: Solve for x
    x = 559,763,067.97/11,556.56
  6. Step 6: Final answer
    x = 48,436.81

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.