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Finding the Third Proportional to 2,529.25 and 3,959.25

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Solution

The third proportional to 2,529.25 and 3,959.25 is: 6,197.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.25 : 3,959.25 = 3,959.25 : x
  2. Step 2: Convert to fraction form
    2,529.25/3,959.25 = 3,959.25/x
  3. Step 3: Cross multiply
    2,529.25x = 3,959.25 × 3,959.25
  4. Step 4: Simplify right side
    2,529.25x = 15,675,660.56
  5. Step 5: Solve for x
    x = 15,675,660.56/2,529.25
  6. Step 6: Final answer
    x = 6,197.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.