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Finding the Third Proportional to 12,384 and 27,228.38

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Solution

The third proportional to 12,384 and 27,228.38 is: 59,866.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384 : 27,228.38 = 27,228.38 : x
  2. Step 2: Convert to fraction form
    12,384/27,228.38 = 27,228.38/x
  3. Step 3: Cross multiply
    12,384x = 27,228.38 × 27,228.38
  4. Step 4: Simplify right side
    12,384x = 741,384,405.14
  5. Step 5: Solve for x
    x = 741,384,405.14/12,384
  6. Step 6: Final answer
    x = 59,866.31

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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.