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Finding the Third Proportional to 13,491 and 27,517.13

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Solution

The third proportional to 13,491 and 27,517.13 is: 56,125.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,491 : 27,517.13 = 27,517.13 : x
  2. Step 2: Convert to fraction form
    13,491/27,517.13 = 27,517.13/x
  3. Step 3: Cross multiply
    13,491x = 27,517.13 × 27,517.13
  4. Step 4: Simplify right side
    13,491x = 757,192,168.27
  5. Step 5: Solve for x
    x = 757,192,168.27/13,491
  6. Step 6: Final answer
    x = 56,125.73

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.