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Finding the Third Proportional to 8,530 and 12,496

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Solution

The third proportional to 8,530 and 12,496 is: 18,305.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530 : 12,496 = 12,496 : x
  2. Step 2: Convert to fraction form
    8,530/12,496 = 12,496/x
  3. Step 3: Cross multiply
    8,530x = 12,496 × 12,496
  4. Step 4: Simplify right side
    8,530x = 156,150,016
  5. Step 5: Solve for x
    x = 156,150,016/8,530
  6. Step 6: Final answer
    x = 18,305.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.