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Finding the Third Proportional to 13,251.09 and 18,571.22

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Solution

The third proportional to 13,251.09 and 18,571.22 is: 26,027.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,251.09 : 18,571.22 = 18,571.22 : x
  2. Step 2: Convert to fraction form
    13,251.09/18,571.22 = 18,571.22/x
  3. Step 3: Cross multiply
    13,251.09x = 18,571.22 × 18,571.22
  4. Step 4: Simplify right side
    13,251.09x = 344,890,165.86
  5. Step 5: Solve for x
    x = 344,890,165.86/13,251.09
  6. Step 6: Final answer
    x = 26,027.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.