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Finding the Third Proportional to 6,193.13 and 13,616.44

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Solution

The third proportional to 6,193.13 and 13,616.44 is: 29,937.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.13 : 13,616.44 = 13,616.44 : x
  2. Step 2: Convert to fraction form
    6,193.13/13,616.44 = 13,616.44/x
  3. Step 3: Cross multiply
    6,193.13x = 13,616.44 × 13,616.44
  4. Step 4: Simplify right side
    6,193.13x = 185,407,370.19
  5. Step 5: Solve for x
    x = 185,407,370.19/6,193.13
  6. Step 6: Final answer
    x = 29,937.61

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.