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Finding the Third Proportional to 8,269 and 12,405

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Solution

The third proportional to 8,269 and 12,405 is: 18,609.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269 : 12,405 = 12,405 : x
  2. Step 2: Convert to fraction form
    8,269/12,405 = 12,405/x
  3. Step 3: Cross multiply
    8,269x = 12,405 × 12,405
  4. Step 4: Simplify right side
    8,269x = 153,884,025
  5. Step 5: Solve for x
    x = 153,884,025/8,269
  6. Step 6: Final answer
    x = 18,609.75

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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.