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Finding the Third Proportional to 3,867 and 8,520

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Solution

The third proportional to 3,867 and 8,520 is: 18,771.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867 : 8,520 = 8,520 : x
  2. Step 2: Convert to fraction form
    3,867/8,520 = 8,520/x
  3. Step 3: Cross multiply
    3,867x = 8,520 × 8,520
  4. Step 4: Simplify right side
    3,867x = 72,590,400
  5. Step 5: Solve for x
    x = 72,590,400/3,867
  6. Step 6: Final answer
    x = 18,771.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.