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Finding the Third Proportional to 8,113.50 and 12,754.13

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Solution

The third proportional to 8,113.50 and 12,754.13 is: 20,049.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.50 : 12,754.13 = 12,754.13 : x
  2. Step 2: Convert to fraction form
    8,113.50/12,754.13 = 12,754.13/x
  3. Step 3: Cross multiply
    8,113.50x = 12,754.13 × 12,754.13
  4. Step 4: Simplify right side
    8,113.50x = 162,667,704.52
  5. Step 5: Solve for x
    x = 162,667,704.52/8,113.50
  6. Step 6: Final answer
    x = 20,049.02

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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.