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Finding the Third Proportional to 4,186 and 9,847

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Solution

The third proportional to 4,186 and 9,847 is: 23,163.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186 : 9,847 = 9,847 : x
  2. Step 2: Convert to fraction form
    4,186/9,847 = 9,847/x
  3. Step 3: Cross multiply
    4,186x = 9,847 × 9,847
  4. Step 4: Simplify right side
    4,186x = 96,963,409
  5. Step 5: Solve for x
    x = 96,963,409/4,186
  6. Step 6: Final answer
    x = 23,163.74

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.