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Finding the Third Proportional to 19,743.75 and 27,425.25

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Solution

The third proportional to 19,743.75 and 27,425.25 is: 38,095.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,743.75 : 27,425.25 = 27,425.25 : x
  2. Step 2: Convert to fraction form
    19,743.75/27,425.25 = 27,425.25/x
  3. Step 3: Cross multiply
    19,743.75x = 27,425.25 × 27,425.25
  4. Step 4: Simplify right side
    19,743.75x = 752,144,337.56
  5. Step 5: Solve for x
    x = 752,144,337.56/19,743.75
  6. Step 6: Final answer
    x = 38,095.31

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.