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Finding the Third Proportional to 16,104 and 22,676

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Solution

The third proportional to 16,104 and 22,676 is: 31,930.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,104 : 22,676 = 22,676 : x
  2. Step 2: Convert to fraction form
    16,104/22,676 = 22,676/x
  3. Step 3: Cross multiply
    16,104x = 22,676 × 22,676
  4. Step 4: Simplify right side
    16,104x = 514,200,976
  5. Step 5: Solve for x
    x = 514,200,976/16,104
  6. Step 6: Final answer
    x = 31,930.02

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.