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Finding the Third Proportional to 12,694.13 and 27,849.75

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Solution

The third proportional to 12,694.13 and 27,849.75 is: 61,099.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.13 : 27,849.75 = 27,849.75 : x
  2. Step 2: Convert to fraction form
    12,694.13/27,849.75 = 27,849.75/x
  3. Step 3: Cross multiply
    12,694.13x = 27,849.75 × 27,849.75
  4. Step 4: Simplify right side
    12,694.13x = 775,608,575.06
  5. Step 5: Solve for x
    x = 775,608,575.06/12,694.13
  6. Step 6: Final answer
    x = 61,099.81

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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.