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Finding the Third Proportional to 8,523.75 and 17,472.75

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Solution

The third proportional to 8,523.75 and 17,472.75 is: 35,817.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.75 : 17,472.75 = 17,472.75 : x
  2. Step 2: Convert to fraction form
    8,523.75/17,472.75 = 17,472.75/x
  3. Step 3: Cross multiply
    8,523.75x = 17,472.75 × 17,472.75
  4. Step 4: Simplify right side
    8,523.75x = 305,296,992.56
  5. Step 5: Solve for x
    x = 305,296,992.56/8,523.75
  6. Step 6: Final answer
    x = 35,817.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.