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Finding the Third Proportional to 13,034.25 and 27,504.56

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Solution

The third proportional to 13,034.25 and 27,504.56 is: 58,039.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,034.25 : 27,504.56 = 27,504.56 : x
  2. Step 2: Convert to fraction form
    13,034.25/27,504.56 = 27,504.56/x
  3. Step 3: Cross multiply
    13,034.25x = 27,504.56 × 27,504.56
  4. Step 4: Simplify right side
    13,034.25x = 756,500,958.32
  5. Step 5: Solve for x
    x = 756,500,958.32/13,034.25
  6. Step 6: Final answer
    x = 58,039.47

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.