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Finding the Third Proportional to 2,639.25 and 3,935.25

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Solution

The third proportional to 2,639.25 and 3,935.25 is: 5,867.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.25 : 3,935.25 = 3,935.25 : x
  2. Step 2: Convert to fraction form
    2,639.25/3,935.25 = 3,935.25/x
  3. Step 3: Cross multiply
    2,639.25x = 3,935.25 × 3,935.25
  4. Step 4: Simplify right side
    2,639.25x = 15,486,192.56
  5. Step 5: Solve for x
    x = 15,486,192.56/2,639.25
  6. Step 6: Final answer
    x = 5,867.65

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Why These Related Problems?

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