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Finding the Third Proportional to 3,512 and 5,257.75

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Solution

The third proportional to 3,512 and 5,257.75 is: 7,871.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512 : 5,257.75 = 5,257.75 : x
  2. Step 2: Convert to fraction form
    3,512/5,257.75 = 5,257.75/x
  3. Step 3: Cross multiply
    3,512x = 5,257.75 × 5,257.75
  4. Step 4: Simplify right side
    3,512x = 27,643,935.06
  5. Step 5: Solve for x
    x = 27,643,935.06/3,512
  6. Step 6: Final answer
    x = 7,871.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.