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Finding the Third Proportional to 13,749.75 and 20,617.03

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Solution

The third proportional to 13,749.75 and 20,617.03 is: 30,914.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,749.75 : 20,617.03 = 20,617.03 : x
  2. Step 2: Convert to fraction form
    13,749.75/20,617.03 = 20,617.03/x
  3. Step 3: Cross multiply
    13,749.75x = 20,617.03 × 20,617.03
  4. Step 4: Simplify right side
    13,749.75x = 425,061,977.56
  5. Step 5: Solve for x
    x = 425,061,977.56/13,749.75
  6. Step 6: Final answer
    x = 30,914.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.