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Finding the Third Proportional to 13,520.67 and 21,243.52

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Solution

The third proportional to 13,520.67 and 21,243.52 is: 33,377.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,520.67 : 21,243.52 = 21,243.52 : x
  2. Step 2: Convert to fraction form
    13,520.67/21,243.52 = 21,243.52/x
  3. Step 3: Cross multiply
    13,520.67x = 21,243.52 × 21,243.52
  4. Step 4: Simplify right side
    13,520.67x = 451,286,956.11
  5. Step 5: Solve for x
    x = 451,286,956.11/13,520.67
  6. Step 6: Final answer
    x = 33,377.55

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.