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Finding the Third Proportional to 19,724.25 and 27,743.63

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Solution

The third proportional to 19,724.25 and 27,743.63 is: 39,023.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,724.25 : 27,743.63 = 27,743.63 : x
  2. Step 2: Convert to fraction form
    19,724.25/27,743.63 = 27,743.63/x
  3. Step 3: Cross multiply
    19,724.25x = 27,743.63 × 27,743.63
  4. Step 4: Simplify right side
    19,724.25x = 769,708,728.14
  5. Step 5: Solve for x
    x = 769,708,728.14/19,724.25
  6. Step 6: Final answer
    x = 39,023.47

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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.