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Finding the Third Proportional to 6,366.73 and 13,708.62

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Solution

The third proportional to 6,366.73 and 13,708.62 is: 29,516.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.73 : 13,708.62 = 13,708.62 : x
  2. Step 2: Convert to fraction form
    6,366.73/13,708.62 = 13,708.62/x
  3. Step 3: Cross multiply
    6,366.73x = 13,708.62 × 13,708.62
  4. Step 4: Simplify right side
    6,366.73x = 187,926,185.19
  5. Step 5: Solve for x
    x = 187,926,185.19/6,366.73
  6. Step 6: Final answer
    x = 29,516.92

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.