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Finding the Third Proportional to 12,016 and 16,404

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Solution

The third proportional to 12,016 and 16,404 is: 22,394.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,016 : 16,404 = 16,404 : x
  2. Step 2: Convert to fraction form
    12,016/16,404 = 16,404/x
  3. Step 3: Cross multiply
    12,016x = 16,404 × 16,404
  4. Step 4: Simplify right side
    12,016x = 269,091,216
  5. Step 5: Solve for x
    x = 269,091,216/12,016
  6. Step 6: Final answer
    x = 22,394.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.