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Finding the Third Proportional to 13,201.73 and 27,499.82

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Solution

The third proportional to 13,201.73 and 27,499.82 is: 57,283.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.73 : 27,499.82 = 27,499.82 : x
  2. Step 2: Convert to fraction form
    13,201.73/27,499.82 = 27,499.82/x
  3. Step 3: Cross multiply
    13,201.73x = 27,499.82 × 27,499.82
  4. Step 4: Simplify right side
    13,201.73x = 756,239,902.38
  5. Step 5: Solve for x
    x = 756,239,902.38/13,201.73
  6. Step 6: Final answer
    x = 57,283.38

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.