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Finding the Third Proportional to 8,505 and 18,240.75

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Solution

The third proportional to 8,505 and 18,240.75 is: 39,121.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505 : 18,240.75 = 18,240.75 : x
  2. Step 2: Convert to fraction form
    8,505/18,240.75 = 18,240.75/x
  3. Step 3: Cross multiply
    8,505x = 18,240.75 × 18,240.75
  4. Step 4: Simplify right side
    8,505x = 332,724,960.56
  5. Step 5: Solve for x
    x = 332,724,960.56/8,505
  6. Step 6: Final answer
    x = 39,121.10

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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.