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Finding the Third Proportional to 8,909.50 and 18,825

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Solution

The third proportional to 8,909.50 and 18,825 is: 39,775.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,909.50 : 18,825 = 18,825 : x
  2. Step 2: Convert to fraction form
    8,909.50/18,825 = 18,825/x
  3. Step 3: Cross multiply
    8,909.50x = 18,825 × 18,825
  4. Step 4: Simplify right side
    8,909.50x = 354,380,625
  5. Step 5: Solve for x
    x = 354,380,625/8,909.50
  6. Step 6: Final answer
    x = 39,775.59

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.