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Finding the Third Proportional to 1,642.15 and 2,463.22

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Solution

The third proportional to 1,642.15 and 2,463.22 is: 3,694.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.15 : 2,463.22 = 2,463.22 : x
  2. Step 2: Convert to fraction form
    1,642.15/2,463.22 = 2,463.22/x
  3. Step 3: Cross multiply
    1,642.15x = 2,463.22 × 2,463.22
  4. Step 4: Simplify right side
    1,642.15x = 6,067,465.85
  5. Step 5: Solve for x
    x = 6,067,465.85/1,642.15
  6. Step 6: Final answer
    x = 3,694.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.