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Finding the Third Proportional to 8,186 and 9,950

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Solution

The third proportional to 8,186 and 9,950 is: 12,094.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186 : 9,950 = 9,950 : x
  2. Step 2: Convert to fraction form
    8,186/9,950 = 9,950/x
  3. Step 3: Cross multiply
    8,186x = 9,950 × 9,950
  4. Step 4: Simplify right side
    8,186x = 99,002,500
  5. Step 5: Solve for x
    x = 99,002,500/8,186
  6. Step 6: Final answer
    x = 12,094.12

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.