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Finding the Third Proportional to 3,964.78 and 6,136.03

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Solution

The third proportional to 3,964.78 and 6,136.03 is: 9,496.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.78 : 6,136.03 = 6,136.03 : x
  2. Step 2: Convert to fraction form
    3,964.78/6,136.03 = 6,136.03/x
  3. Step 3: Cross multiply
    3,964.78x = 6,136.03 × 6,136.03
  4. Step 4: Simplify right side
    3,964.78x = 37,650,879.50
  5. Step 5: Solve for x
    x = 37,650,879.50/3,964.78
  6. Step 6: Final answer
    x = 9,496.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.