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Finding the Third Proportional to 3,201 and 5,257.50

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Solution

The third proportional to 3,201 and 5,257.50 is: 8,635.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201 : 5,257.50 = 5,257.50 : x
  2. Step 2: Convert to fraction form
    3,201/5,257.50 = 5,257.50/x
  3. Step 3: Cross multiply
    3,201x = 5,257.50 × 5,257.50
  4. Step 4: Simplify right side
    3,201x = 27,641,306.25
  5. Step 5: Solve for x
    x = 27,641,306.25/3,201
  6. Step 6: Final answer
    x = 8,635.21

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.