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Finding the Third Proportional to 1,067.63 and 1,512.19

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Solution

The third proportional to 1,067.63 and 1,512.19 is: 2,141.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.63 : 1,512.19 = 1,512.19 : x
  2. Step 2: Convert to fraction form
    1,067.63/1,512.19 = 1,512.19/x
  3. Step 3: Cross multiply
    1,067.63x = 1,512.19 × 1,512.19
  4. Step 4: Simplify right side
    1,067.63x = 2,286,711.04
  5. Step 5: Solve for x
    x = 2,286,711.04/1,067.63
  6. Step 6: Final answer
    x = 2,141.87

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.