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Finding the Third Proportional to 5,723 and 8,869

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Solution

The third proportional to 5,723 and 8,869 is: 13,744.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723 : 8,869 = 8,869 : x
  2. Step 2: Convert to fraction form
    5,723/8,869 = 8,869/x
  3. Step 3: Cross multiply
    5,723x = 8,869 × 8,869
  4. Step 4: Simplify right side
    5,723x = 78,659,161
  5. Step 5: Solve for x
    x = 78,659,161/5,723
  6. Step 6: Final answer
    x = 13,744.39

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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.