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Finding the Third Proportional to 5,757.75 and 12,493.13

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Solution

The third proportional to 5,757.75 and 12,493.13 is: 27,107.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.75 : 12,493.13 = 12,493.13 : x
  2. Step 2: Convert to fraction form
    5,757.75/12,493.13 = 12,493.13/x
  3. Step 3: Cross multiply
    5,757.75x = 12,493.13 × 12,493.13
  4. Step 4: Simplify right side
    5,757.75x = 156,078,172.27
  5. Step 5: Solve for x
    x = 156,078,172.27/5,757.75
  6. Step 6: Final answer
    x = 27,107.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.