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Finding the Third Proportional to 19,724.44 and 27,743.81

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Solution

The third proportional to 19,724.44 and 27,743.81 is: 39,023.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,724.44 : 27,743.81 = 27,743.81 : x
  2. Step 2: Convert to fraction form
    19,724.44/27,743.81 = 27,743.81/x
  3. Step 3: Cross multiply
    19,724.44x = 27,743.81 × 27,743.81
  4. Step 4: Simplify right side
    19,724.44x = 769,719,132.04
  5. Step 5: Solve for x
    x = 769,719,132.04/19,724.44
  6. Step 6: Final answer
    x = 39,023.63

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Why These Related Problems?

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