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Finding the Third Proportional to 11,871.56 and 17,197.31

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Solution

The third proportional to 11,871.56 and 17,197.31 is: 24,912.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.56 : 17,197.31 = 17,197.31 : x
  2. Step 2: Convert to fraction form
    11,871.56/17,197.31 = 17,197.31/x
  3. Step 3: Cross multiply
    11,871.56x = 17,197.31 × 17,197.31
  4. Step 4: Simplify right side
    11,871.56x = 295,747,557.22
  5. Step 5: Solve for x
    x = 295,747,557.22/11,871.56
  6. Step 6: Final answer
    x = 24,912.27

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.