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Finding the Third Proportional to 3,186 and 4,782

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Solution

The third proportional to 3,186 and 4,782 is: 7,177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186 : 4,782 = 4,782 : x
  2. Step 2: Convert to fraction form
    3,186/4,782 = 4,782/x
  3. Step 3: Cross multiply
    3,186x = 4,782 × 4,782
  4. Step 4: Simplify right side
    3,186x = 22,867,524
  5. Step 5: Solve for x
    x = 22,867,524/3,186
  6. Step 6: Final answer
    x = 7,177.50

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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.