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Finding the Third Proportional to 2,059 and 3,659

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Solution

The third proportional to 2,059 and 3,659 is: 6,502.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059 : 3,659 = 3,659 : x
  2. Step 2: Convert to fraction form
    2,059/3,659 = 3,659/x
  3. Step 3: Cross multiply
    2,059x = 3,659 × 3,659
  4. Step 4: Simplify right side
    2,059x = 13,388,281
  5. Step 5: Solve for x
    x = 13,388,281/2,059
  6. Step 6: Final answer
    x = 6,502.32

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.