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Finding the Third Proportional to 12,073 and 16,867

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Solution

The third proportional to 12,073 and 16,867 is: 23,564.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,073 : 16,867 = 16,867 : x
  2. Step 2: Convert to fraction form
    12,073/16,867 = 16,867/x
  3. Step 3: Cross multiply
    12,073x = 16,867 × 16,867
  4. Step 4: Simplify right side
    12,073x = 284,495,689
  5. Step 5: Solve for x
    x = 284,495,689/12,073
  6. Step 6: Final answer
    x = 23,564.62

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.