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Finding the Third Proportional to 8,037 and 12,069

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Solution

The third proportional to 8,037 and 12,069 is: 18,123.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037 : 12,069 = 12,069 : x
  2. Step 2: Convert to fraction form
    8,037/12,069 = 12,069/x
  3. Step 3: Cross multiply
    8,037x = 12,069 × 12,069
  4. Step 4: Simplify right side
    8,037x = 145,660,761
  5. Step 5: Solve for x
    x = 145,660,761/8,037
  6. Step 6: Final answer
    x = 18,123.77

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Why These Related Problems?

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