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Finding the Third Proportional to 3,249.07 and 5,040.77

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Solution

The third proportional to 3,249.07 and 5,040.77 is: 7,820.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.07 : 5,040.77 = 5,040.77 : x
  2. Step 2: Convert to fraction form
    3,249.07/5,040.77 = 5,040.77/x
  3. Step 3: Cross multiply
    3,249.07x = 5,040.77 × 5,040.77
  4. Step 4: Simplify right side
    3,249.07x = 25,409,396.85
  5. Step 5: Solve for x
    x = 25,409,396.85/3,249.07
  6. Step 6: Final answer
    x = 7,820.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.