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Finding the Third Proportional to 4,114 and 8,843

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Solution

The third proportional to 4,114 and 8,843 is: 19,007.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114 : 8,843 = 8,843 : x
  2. Step 2: Convert to fraction form
    4,114/8,843 = 8,843/x
  3. Step 3: Cross multiply
    4,114x = 8,843 × 8,843
  4. Step 4: Simplify right side
    4,114x = 78,198,649
  5. Step 5: Solve for x
    x = 78,198,649/4,114
  6. Step 6: Final answer
    x = 19,007.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.