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Finding the Third Proportional to 12,467 and 16,794

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Solution

The third proportional to 12,467 and 16,794 is: 22,622.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467 : 16,794 = 16,794 : x
  2. Step 2: Convert to fraction form
    12,467/16,794 = 16,794/x
  3. Step 3: Cross multiply
    12,467x = 16,794 × 16,794
  4. Step 4: Simplify right side
    12,467x = 282,038,436
  5. Step 5: Solve for x
    x = 282,038,436/12,467
  6. Step 6: Final answer
    x = 22,622.80

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.