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Finding the Third Proportional to 8,523.50 and 18,231.63

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Solution

The third proportional to 8,523.50 and 18,231.63 is: 38,997.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.50 : 18,231.63 = 18,231.63 : x
  2. Step 2: Convert to fraction form
    8,523.50/18,231.63 = 18,231.63/x
  3. Step 3: Cross multiply
    8,523.50x = 18,231.63 × 18,231.63
  4. Step 4: Simplify right side
    8,523.50x = 332,392,150.14
  5. Step 5: Solve for x
    x = 332,392,150.14/8,523.50
  6. Step 6: Final answer
    x = 38,997.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.