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Finding the Third Proportional to 11,747.50 and 17,296.75

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Solution

The third proportional to 11,747.50 and 17,296.75 is: 25,467.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,747.50 : 17,296.75 = 17,296.75 : x
  2. Step 2: Convert to fraction form
    11,747.50/17,296.75 = 17,296.75/x
  3. Step 3: Cross multiply
    11,747.50x = 17,296.75 × 17,296.75
  4. Step 4: Simplify right side
    11,747.50x = 299,177,560.56
  5. Step 5: Solve for x
    x = 299,177,560.56/11,747.50
  6. Step 6: Final answer
    x = 25,467.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.