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Finding the Third Proportional to 13,744.69 and 20,503.13

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Solution

The third proportional to 13,744.69 and 20,503.13 is: 30,584.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.69 : 20,503.13 = 20,503.13 : x
  2. Step 2: Convert to fraction form
    13,744.69/20,503.13 = 20,503.13/x
  3. Step 3: Cross multiply
    13,744.69x = 20,503.13 × 20,503.13
  4. Step 4: Simplify right side
    13,744.69x = 420,378,134.77
  5. Step 5: Solve for x
    x = 420,378,134.77/13,744.69
  6. Step 6: Final answer
    x = 30,584.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.