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Finding the Third Proportional to 8,047 and 16,891

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Solution

The third proportional to 8,047 and 16,891 is: 35,454.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047 : 16,891 = 16,891 : x
  2. Step 2: Convert to fraction form
    8,047/16,891 = 16,891/x
  3. Step 3: Cross multiply
    8,047x = 16,891 × 16,891
  4. Step 4: Simplify right side
    8,047x = 285,305,881
  5. Step 5: Solve for x
    x = 285,305,881/8,047
  6. Step 6: Final answer
    x = 35,454.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.