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Finding the Third Proportional to 2,768.63 and 3,944.25

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Solution

The third proportional to 2,768.63 and 3,944.25 is: 5,619.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.63 : 3,944.25 = 3,944.25 : x
  2. Step 2: Convert to fraction form
    2,768.63/3,944.25 = 3,944.25/x
  3. Step 3: Cross multiply
    2,768.63x = 3,944.25 × 3,944.25
  4. Step 4: Simplify right side
    2,768.63x = 15,557,108.06
  5. Step 5: Solve for x
    x = 15,557,108.06/2,768.63
  6. Step 6: Final answer
    x = 5,619.07

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.