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Finding the Third Proportional to 7,936.31 and 17,429.34

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Solution

The third proportional to 7,936.31 and 17,429.34 is: 38,277.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,936.31 : 17,429.34 = 17,429.34 : x
  2. Step 2: Convert to fraction form
    7,936.31/17,429.34 = 17,429.34/x
  3. Step 3: Cross multiply
    7,936.31x = 17,429.34 × 17,429.34
  4. Step 4: Simplify right side
    7,936.31x = 303,782,023.56
  5. Step 5: Solve for x
    x = 303,782,023.56/7,936.31
  6. Step 6: Final answer
    x = 38,277.48

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.