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Finding the Third Proportional to 4,189.50 and 5,859

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Solution

The third proportional to 4,189.50 and 5,859 is: 8,193.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.50 : 5,859 = 5,859 : x
  2. Step 2: Convert to fraction form
    4,189.50/5,859 = 5,859/x
  3. Step 3: Cross multiply
    4,189.50x = 5,859 × 5,859
  4. Step 4: Simplify right side
    4,189.50x = 34,327,881
  5. Step 5: Solve for x
    x = 34,327,881/4,189.50
  6. Step 6: Final answer
    x = 8,193.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.