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Finding the Third Proportional to 5,796.28 and 12,516.47

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Solution

The third proportional to 5,796.28 and 12,516.47 is: 27,028.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.28 : 12,516.47 = 12,516.47 : x
  2. Step 2: Convert to fraction form
    5,796.28/12,516.47 = 12,516.47/x
  3. Step 3: Cross multiply
    5,796.28x = 12,516.47 × 12,516.47
  4. Step 4: Simplify right side
    5,796.28x = 156,661,989.97
  5. Step 5: Solve for x
    x = 156,661,989.97/5,796.28
  6. Step 6: Final answer
    x = 27,028.02

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