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Finding the Third Proportional to 5,723 and 8,859

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Solution

The third proportional to 5,723 and 8,859 is: 13,713.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723 : 8,859 = 8,859 : x
  2. Step 2: Convert to fraction form
    5,723/8,859 = 8,859/x
  3. Step 3: Cross multiply
    5,723x = 8,859 × 8,859
  4. Step 4: Simplify right side
    5,723x = 78,481,881
  5. Step 5: Solve for x
    x = 78,481,881/5,723
  6. Step 6: Final answer
    x = 13,713.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.