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Finding the Third Proportional to 13,770.04 and 18,578.99

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Solution

The third proportional to 13,770.04 and 18,578.99 is: 25,067.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.04 : 18,578.99 = 18,578.99 : x
  2. Step 2: Convert to fraction form
    13,770.04/18,578.99 = 18,578.99/x
  3. Step 3: Cross multiply
    13,770.04x = 18,578.99 × 18,578.99
  4. Step 4: Simplify right side
    13,770.04x = 345,178,805.55
  5. Step 5: Solve for x
    x = 345,178,805.55/13,770.04
  6. Step 6: Final answer
    x = 25,067.39

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.