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Finding the Third Proportional to 12,200 and 16,652

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Solution

The third proportional to 12,200 and 16,652 is: 22,728.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200 : 16,652 = 16,652 : x
  2. Step 2: Convert to fraction form
    12,200/16,652 = 16,652/x
  3. Step 3: Cross multiply
    12,200x = 16,652 × 16,652
  4. Step 4: Simplify right side
    12,200x = 277,289,104
  5. Step 5: Solve for x
    x = 277,289,104/12,200
  6. Step 6: Final answer
    x = 22,728.62

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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.