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Finding the Third Proportional to 4,141.97 and 8,796.52

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Solution

The third proportional to 4,141.97 and 8,796.52 is: 18,681.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.97 : 8,796.52 = 8,796.52 : x
  2. Step 2: Convert to fraction form
    4,141.97/8,796.52 = 8,796.52/x
  3. Step 3: Cross multiply
    4,141.97x = 8,796.52 × 8,796.52
  4. Step 4: Simplify right side
    4,141.97x = 77,378,687.14
  5. Step 5: Solve for x
    x = 77,378,687.14/4,141.97
  6. Step 6: Final answer
    x = 18,681.62

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.