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Finding the Third Proportional to 8,182.97 and 19,682.44

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Solution

The third proportional to 8,182.97 and 19,682.44 is: 47,342.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.97 : 19,682.44 = 19,682.44 : x
  2. Step 2: Convert to fraction form
    8,182.97/19,682.44 = 19,682.44/x
  3. Step 3: Cross multiply
    8,182.97x = 19,682.44 × 19,682.44
  4. Step 4: Simplify right side
    8,182.97x = 387,398,345.94
  5. Step 5: Solve for x
    x = 387,398,345.94/8,182.97
  6. Step 6: Final answer
    x = 47,342.03

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.