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Finding the Third Proportional to 8,037 and 10,639.50

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Solution

The third proportional to 8,037 and 10,639.50 is: 14,084.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037 : 10,639.50 = 10,639.50 : x
  2. Step 2: Convert to fraction form
    8,037/10,639.50 = 10,639.50/x
  3. Step 3: Cross multiply
    8,037x = 10,639.50 × 10,639.50
  4. Step 4: Simplify right side
    8,037x = 113,198,960.25
  5. Step 5: Solve for x
    x = 113,198,960.25/8,037
  6. Step 6: Final answer
    x = 14,084.73

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.