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Finding the Third Proportional to 10,115.44 and 22,238.44

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Solution

The third proportional to 10,115.44 and 22,238.44 is: 48,890.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,115.44 : 22,238.44 = 22,238.44 : x
  2. Step 2: Convert to fraction form
    10,115.44/22,238.44 = 22,238.44/x
  3. Step 3: Cross multiply
    10,115.44x = 22,238.44 × 22,238.44
  4. Step 4: Simplify right side
    10,115.44x = 494,548,102.44
  5. Step 5: Solve for x
    x = 494,548,102.44/10,115.44
  6. Step 6: Final answer
    x = 48,890.43

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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.