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Finding the Third Proportional to 5,738.06 and 11,844.56

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Solution

The third proportional to 5,738.06 and 11,844.56 is: 24,449.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.06 : 11,844.56 = 11,844.56 : x
  2. Step 2: Convert to fraction form
    5,738.06/11,844.56 = 11,844.56/x
  3. Step 3: Cross multiply
    5,738.06x = 11,844.56 × 11,844.56
  4. Step 4: Simplify right side
    5,738.06x = 140,293,660.82
  5. Step 5: Solve for x
    x = 140,293,660.82/5,738.06
  6. Step 6: Final answer
    x = 24,449.66

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.