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Finding the Third Proportional to 942.66 and 2,067.84

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Solution

The third proportional to 942.66 and 2,067.84 is: 4,536.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.66 : 2,067.84 = 2,067.84 : x
  2. Step 2: Convert to fraction form
    942.66/2,067.84 = 2,067.84/x
  3. Step 3: Cross multiply
    942.66x = 2,067.84 × 2,067.84
  4. Step 4: Simplify right side
    942.66x = 4,275,977.77
  5. Step 5: Solve for x
    x = 4,275,977.77/942.66
  6. Step 6: Final answer
    x = 4,536.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.