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Finding the Third Proportional to 11,431.44 and 17,177.56

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Solution

The third proportional to 11,431.44 and 17,177.56 is: 25,812.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431.44 : 17,177.56 = 17,177.56 : x
  2. Step 2: Convert to fraction form
    11,431.44/17,177.56 = 17,177.56/x
  3. Step 3: Cross multiply
    11,431.44x = 17,177.56 × 17,177.56
  4. Step 4: Simplify right side
    11,431.44x = 295,068,653.44
  5. Step 5: Solve for x
    x = 295,068,653.44/11,431.44
  6. Step 6: Final answer
    x = 25,812.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.