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Finding the Third Proportional to 10,909.69 and 14,385.09

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Solution

The third proportional to 10,909.69 and 14,385.09 is: 18,967.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.69 : 14,385.09 = 14,385.09 : x
  2. Step 2: Convert to fraction form
    10,909.69/14,385.09 = 14,385.09/x
  3. Step 3: Cross multiply
    10,909.69x = 14,385.09 × 14,385.09
  4. Step 4: Simplify right side
    10,909.69x = 206,930,922.20
  5. Step 5: Solve for x
    x = 206,930,922.20/10,909.69
  6. Step 6: Final answer
    x = 18,967.63

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.