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Finding the Third Proportional to 6,227.82 and 13,623.37

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Solution

The third proportional to 6,227.82 and 13,623.37 is: 29,801.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.82 : 13,623.37 = 13,623.37 : x
  2. Step 2: Convert to fraction form
    6,227.82/13,623.37 = 13,623.37/x
  3. Step 3: Cross multiply
    6,227.82x = 13,623.37 × 13,623.37
  4. Step 4: Simplify right side
    6,227.82x = 185,596,086.96
  5. Step 5: Solve for x
    x = 185,596,086.96/6,227.82
  6. Step 6: Final answer
    x = 29,801.11

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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.