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Finding the Third Proportional to 1,195.88 and 2,863.13

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Solution

The third proportional to 1,195.88 and 2,863.13 is: 6,854.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.88 : 2,863.13 = 2,863.13 : x
  2. Step 2: Convert to fraction form
    1,195.88/2,863.13 = 2,863.13/x
  3. Step 3: Cross multiply
    1,195.88x = 2,863.13 × 2,863.13
  4. Step 4: Simplify right side
    1,195.88x = 8,197,484.77
  5. Step 5: Solve for x
    x = 8,197,484.77/1,195.88
  6. Step 6: Final answer
    x = 6,854.80

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.