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Finding the Third Proportional to 1,659 and 3,062

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Solution

The third proportional to 1,659 and 3,062 is: 5,651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659 : 3,062 = 3,062 : x
  2. Step 2: Convert to fraction form
    1,659/3,062 = 3,062/x
  3. Step 3: Cross multiply
    1,659x = 3,062 × 3,062
  4. Step 4: Simplify right side
    1,659x = 9,375,844
  5. Step 5: Solve for x
    x = 9,375,844/1,659
  6. Step 6: Final answer
    x = 5,651.50

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.