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Finding the Third Proportional to 3,509 and 8,201

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Solution

The third proportional to 3,509 and 8,201 is: 19,166.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509 : 8,201 = 8,201 : x
  2. Step 2: Convert to fraction form
    3,509/8,201 = 8,201/x
  3. Step 3: Cross multiply
    3,509x = 8,201 × 8,201
  4. Step 4: Simplify right side
    3,509x = 67,256,401
  5. Step 5: Solve for x
    x = 67,256,401/3,509
  6. Step 6: Final answer
    x = 19,166.83

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.