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Finding the Third Proportional to 19,727.25 and 27,747.94

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Solution

The third proportional to 19,727.25 and 27,747.94 is: 39,029.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,727.25 : 27,747.94 = 27,747.94 : x
  2. Step 2: Convert to fraction form
    19,727.25/27,747.94 = 27,747.94/x
  3. Step 3: Cross multiply
    19,727.25x = 27,747.94 × 27,747.94
  4. Step 4: Simplify right side
    19,727.25x = 769,948,035.50
  5. Step 5: Solve for x
    x = 769,948,035.50/19,727.25
  6. Step 6: Final answer
    x = 39,029.67

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.