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Finding the Third Proportional to 2,239.31 and 5,205.09

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Solution

The third proportional to 2,239.31 and 5,205.09 is: 12,098.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,239.31 : 5,205.09 = 5,205.09 : x
  2. Step 2: Convert to fraction form
    2,239.31/5,205.09 = 5,205.09/x
  3. Step 3: Cross multiply
    2,239.31x = 5,205.09 × 5,205.09
  4. Step 4: Simplify right side
    2,239.31x = 27,093,000.95
  5. Step 5: Solve for x
    x = 27,093,000.95/2,239.31
  6. Step 6: Final answer
    x = 12,098.80

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.