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Finding the Third Proportional to 2,195.86 and 2,786.91

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Solution

The third proportional to 2,195.86 and 2,786.91 is: 3,537.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.86 : 2,786.91 = 2,786.91 : x
  2. Step 2: Convert to fraction form
    2,195.86/2,786.91 = 2,786.91/x
  3. Step 3: Cross multiply
    2,195.86x = 2,786.91 × 2,786.91
  4. Step 4: Simplify right side
    2,195.86x = 7,766,846.45
  5. Step 5: Solve for x
    x = 7,766,846.45/2,195.86
  6. Step 6: Final answer
    x = 3,537.04

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.