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Finding the Third Proportional to 2,786.91 and 4,180.36

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Solution

The third proportional to 2,786.91 and 4,180.36 is: 6,270.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.91 : 4,180.36 = 4,180.36 : x
  2. Step 2: Convert to fraction form
    2,786.91/4,180.36 = 4,180.36/x
  3. Step 3: Cross multiply
    2,786.91x = 4,180.36 × 4,180.36
  4. Step 4: Simplify right side
    2,786.91x = 17,475,404.50
  5. Step 5: Solve for x
    x = 17,475,404.50/2,786.91
  6. Step 6: Final answer
    x = 6,270.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.