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Finding the Third Proportional to 8,525.25 and 18,234.75

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Solution

The third proportional to 8,525.25 and 18,234.75 is: 39,002.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,525.25 : 18,234.75 = 18,234.75 : x
  2. Step 2: Convert to fraction form
    8,525.25/18,234.75 = 18,234.75/x
  3. Step 3: Cross multiply
    8,525.25x = 18,234.75 × 18,234.75
  4. Step 4: Simplify right side
    8,525.25x = 332,506,107.56
  5. Step 5: Solve for x
    x = 332,506,107.56/8,525.25
  6. Step 6: Final answer
    x = 39,002.51

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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.