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Finding the Third Proportional to 6,104.11 and 13,380.82

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Solution

The third proportional to 6,104.11 and 13,380.82 is: 29,332.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.11 : 13,380.82 = 13,380.82 : x
  2. Step 2: Convert to fraction form
    6,104.11/13,380.82 = 13,380.82/x
  3. Step 3: Cross multiply
    6,104.11x = 13,380.82 × 13,380.82
  4. Step 4: Simplify right side
    6,104.11x = 179,046,352.24
  5. Step 5: Solve for x
    x = 179,046,352.24/6,104.11
  6. Step 6: Final answer
    x = 29,332.10

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