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Finding the Third Proportional to 5,933 and 8,859

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Solution

The third proportional to 5,933 and 8,859 is: 13,228.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,933 : 8,859 = 8,859 : x
  2. Step 2: Convert to fraction form
    5,933/8,859 = 8,859/x
  3. Step 3: Cross multiply
    5,933x = 8,859 × 8,859
  4. Step 4: Simplify right side
    5,933x = 78,481,881
  5. Step 5: Solve for x
    x = 78,481,881/5,933
  6. Step 6: Final answer
    x = 13,228.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.