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Finding the Third Proportional to 2,067.08 and 3,119.61

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Solution

The third proportional to 2,067.08 and 3,119.61 is: 4,708.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.08 : 3,119.61 = 3,119.61 : x
  2. Step 2: Convert to fraction form
    2,067.08/3,119.61 = 3,119.61/x
  3. Step 3: Cross multiply
    2,067.08x = 3,119.61 × 3,119.61
  4. Step 4: Simplify right side
    2,067.08x = 9,731,950.47
  5. Step 5: Solve for x
    x = 9,731,950.47/2,067.08
  6. Step 6: Final answer
    x = 4,708.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.