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Finding the Third Proportional to 3,186 and 5,004

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Solution

The third proportional to 3,186 and 5,004 is: 7,859.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186 : 5,004 = 5,004 : x
  2. Step 2: Convert to fraction form
    3,186/5,004 = 5,004/x
  3. Step 3: Cross multiply
    3,186x = 5,004 × 5,004
  4. Step 4: Simplify right side
    3,186x = 25,040,016
  5. Step 5: Solve for x
    x = 25,040,016/3,186
  6. Step 6: Final answer
    x = 7,859.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.