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Finding the Third Proportional to 3,509 and 5,474

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Solution

The third proportional to 3,509 and 5,474 is: 8,539.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509 : 5,474 = 5,474 : x
  2. Step 2: Convert to fraction form
    3,509/5,474 = 5,474/x
  3. Step 3: Cross multiply
    3,509x = 5,474 × 5,474
  4. Step 4: Simplify right side
    3,509x = 29,964,676
  5. Step 5: Solve for x
    x = 29,964,676/3,509
  6. Step 6: Final answer
    x = 8,539.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.