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Finding the Third Proportional to 6,249.25 and 13,201.25

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Solution

The third proportional to 6,249.25 and 13,201.25 is: 27,887.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249.25 : 13,201.25 = 13,201.25 : x
  2. Step 2: Convert to fraction form
    6,249.25/13,201.25 = 13,201.25/x
  3. Step 3: Cross multiply
    6,249.25x = 13,201.25 × 13,201.25
  4. Step 4: Simplify right side
    6,249.25x = 174,273,001.56
  5. Step 5: Solve for x
    x = 174,273,001.56/6,249.25
  6. Step 6: Final answer
    x = 27,887.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.