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Finding the Third Proportional to 2,745.14 and 3,944.95

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Solution

The third proportional to 2,745.14 and 3,944.95 is: 5,669.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.14 : 3,944.95 = 3,944.95 : x
  2. Step 2: Convert to fraction form
    2,745.14/3,944.95 = 3,944.95/x
  3. Step 3: Cross multiply
    2,745.14x = 3,944.95 × 3,944.95
  4. Step 4: Simplify right side
    2,745.14x = 15,562,655.16
  5. Step 5: Solve for x
    x = 15,562,655.16/2,745.14
  6. Step 6: Final answer
    x = 5,669.17

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.