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Finding the Third Proportional to 2,628.56 and 3,919.78

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Solution

The third proportional to 2,628.56 and 3,919.78 is: 5,845.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.56 : 3,919.78 = 3,919.78 : x
  2. Step 2: Convert to fraction form
    2,628.56/3,919.78 = 3,919.78/x
  3. Step 3: Cross multiply
    2,628.56x = 3,919.78 × 3,919.78
  4. Step 4: Simplify right side
    2,628.56x = 15,364,685.05
  5. Step 5: Solve for x
    x = 15,364,685.05/2,628.56
  6. Step 6: Final answer
    x = 5,845.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.