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Finding the Third Proportional to 6,193 and 13,561

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Solution

The third proportional to 6,193 and 13,561 is: 29,694.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193 : 13,561 = 13,561 : x
  2. Step 2: Convert to fraction form
    6,193/13,561 = 13,561/x
  3. Step 3: Cross multiply
    6,193x = 13,561 × 13,561
  4. Step 4: Simplify right side
    6,193x = 183,900,721
  5. Step 5: Solve for x
    x = 183,900,721/6,193
  6. Step 6: Final answer
    x = 29,694.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.