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Finding the Third Proportional to 6,363.56 and 13,737.09

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Solution

The third proportional to 6,363.56 and 13,737.09 is: 29,654.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,363.56 : 13,737.09 = 13,737.09 : x
  2. Step 2: Convert to fraction form
    6,363.56/13,737.09 = 13,737.09/x
  3. Step 3: Cross multiply
    6,363.56x = 13,737.09 × 13,737.09
  4. Step 4: Simplify right side
    6,363.56x = 188,707,744.70
  5. Step 5: Solve for x
    x = 188,707,744.70/6,363.56
  6. Step 6: Final answer
    x = 29,654.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.