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Finding the Third Proportional to 24,231.94 and 52,964.44

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Solution

The third proportional to 24,231.94 and 52,964.44 is: 115,765.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,231.94 : 52,964.44 = 52,964.44 : x
  2. Step 2: Convert to fraction form
    24,231.94/52,964.44 = 52,964.44/x
  3. Step 3: Cross multiply
    24,231.94x = 52,964.44 × 52,964.44
  4. Step 4: Simplify right side
    24,231.94x = 2,805,231,639.69
  5. Step 5: Solve for x
    x = 2,805,231,639.69/24,231.94
  6. Step 6: Final answer
    x = 115,765.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.