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Finding the Third Proportional to 19,238.34 and 41,351.34

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Solution

The third proportional to 19,238.34 and 41,351.34 is: 88,881.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,238.34 : 41,351.34 = 41,351.34 : x
  2. Step 2: Convert to fraction form
    19,238.34/41,351.34 = 41,351.34/x
  3. Step 3: Cross multiply
    19,238.34x = 41,351.34 × 41,351.34
  4. Step 4: Simplify right side
    19,238.34x = 1,709,933,629.93
  5. Step 5: Solve for x
    x = 1,709,933,629.93/19,238.34
  6. Step 6: Final answer
    x = 88,881.54

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.