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Finding the Third Proportional to 2,935.50 and 4,025.25

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Solution

The third proportional to 2,935.50 and 4,025.25 is: 5,519.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.50 : 4,025.25 = 4,025.25 : x
  2. Step 2: Convert to fraction form
    2,935.50/4,025.25 = 4,025.25/x
  3. Step 3: Cross multiply
    2,935.50x = 4,025.25 × 4,025.25
  4. Step 4: Simplify right side
    2,935.50x = 16,202,637.56
  5. Step 5: Solve for x
    x = 16,202,637.56/2,935.50
  6. Step 6: Final answer
    x = 5,519.55

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.