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Finding the Third Proportional to 3,659 and 5,351

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Solution

The third proportional to 3,659 and 5,351 is: 7,825.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659 : 5,351 = 5,351 : x
  2. Step 2: Convert to fraction form
    3,659/5,351 = 5,351/x
  3. Step 3: Cross multiply
    3,659x = 5,351 × 5,351
  4. Step 4: Simplify right side
    3,659x = 28,633,201
  5. Step 5: Solve for x
    x = 28,633,201/3,659
  6. Step 6: Final answer
    x = 7,825.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.