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Finding the Third Proportional to 13,074.75 and 20,003.63

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Solution

The third proportional to 13,074.75 and 20,003.63 is: 30,604.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,074.75 : 20,003.63 = 20,003.63 : x
  2. Step 2: Convert to fraction form
    13,074.75/20,003.63 = 20,003.63/x
  3. Step 3: Cross multiply
    13,074.75x = 20,003.63 × 20,003.63
  4. Step 4: Simplify right side
    13,074.75x = 400,145,013.14
  5. Step 5: Solve for x
    x = 400,145,013.14/13,074.75
  6. Step 6: Final answer
    x = 30,604.41

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.