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Finding the Third Proportional to 8,201 and 17,977

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Solution

The third proportional to 8,201 and 17,977 is: 39,406.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201 : 17,977 = 17,977 : x
  2. Step 2: Convert to fraction form
    8,201/17,977 = 17,977/x
  3. Step 3: Cross multiply
    8,201x = 17,977 × 17,977
  4. Step 4: Simplify right side
    8,201x = 323,172,529
  5. Step 5: Solve for x
    x = 323,172,529/8,201
  6. Step 6: Final answer
    x = 39,406.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.