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Finding the Third Proportional to 5,039 and 11,767.75

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Solution

The third proportional to 5,039 and 11,767.75 is: 27,481.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,039 : 11,767.75 = 11,767.75 : x
  2. Step 2: Convert to fraction form
    5,039/11,767.75 = 11,767.75/x
  3. Step 3: Cross multiply
    5,039x = 11,767.75 × 11,767.75
  4. Step 4: Simplify right side
    5,039x = 138,479,940.06
  5. Step 5: Solve for x
    x = 138,479,940.06/5,039
  6. Step 6: Final answer
    x = 27,481.63

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.