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Finding the Third Proportional to 6,189 and 12,593

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Solution

The third proportional to 6,189 and 12,593 is: 25,623.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189 : 12,593 = 12,593 : x
  2. Step 2: Convert to fraction form
    6,189/12,593 = 12,593/x
  3. Step 3: Cross multiply
    6,189x = 12,593 × 12,593
  4. Step 4: Simplify right side
    6,189x = 158,583,649
  5. Step 5: Solve for x
    x = 158,583,649/6,189
  6. Step 6: Final answer
    x = 25,623.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.