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Finding the Third Proportional to 8,903 and 12,073

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Solution

The third proportional to 8,903 and 12,073 is: 16,371.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,903 : 12,073 = 12,073 : x
  2. Step 2: Convert to fraction form
    8,903/12,073 = 12,073/x
  3. Step 3: Cross multiply
    8,903x = 12,073 × 12,073
  4. Step 4: Simplify right side
    8,903x = 145,757,329
  5. Step 5: Solve for x
    x = 145,757,329/8,903
  6. Step 6: Final answer
    x = 16,371.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.