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Finding the Third Proportional to 6,745.78 and 15,755.34

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Solution

The third proportional to 6,745.78 and 15,755.34 is: 36,797.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.78 : 15,755.34 = 15,755.34 : x
  2. Step 2: Convert to fraction form
    6,745.78/15,755.34 = 15,755.34/x
  3. Step 3: Cross multiply
    6,745.78x = 15,755.34 × 15,755.34
  4. Step 4: Simplify right side
    6,745.78x = 248,230,856.68
  5. Step 5: Solve for x
    x = 248,230,856.68/6,745.78
  6. Step 6: Final answer
    x = 36,797.94

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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.