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Finding the Third Proportional to 8,069 and 12,103

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Solution

The third proportional to 8,069 and 12,103 is: 18,153.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,069 : 12,103 = 12,103 : x
  2. Step 2: Convert to fraction form
    8,069/12,103 = 12,103/x
  3. Step 3: Cross multiply
    8,069x = 12,103 × 12,103
  4. Step 4: Simplify right side
    8,069x = 146,482,609
  5. Step 5: Solve for x
    x = 146,482,609/8,069
  6. Step 6: Final answer
    x = 18,153.75

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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.