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Finding the Third Proportional to 8,124 and 12,754

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Solution

The third proportional to 8,124 and 12,754 is: 20,022.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124 : 12,754 = 12,754 : x
  2. Step 2: Convert to fraction form
    8,124/12,754 = 12,754/x
  3. Step 3: Cross multiply
    8,124x = 12,754 × 12,754
  4. Step 4: Simplify right side
    8,124x = 162,664,516
  5. Step 5: Solve for x
    x = 162,664,516/8,124
  6. Step 6: Final answer
    x = 20,022.71

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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.