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Finding the Third Proportional to 12,206 and 18,957

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Solution

The third proportional to 12,206 and 18,957 is: 29,441.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206 : 18,957 = 18,957 : x
  2. Step 2: Convert to fraction form
    12,206/18,957 = 18,957/x
  3. Step 3: Cross multiply
    12,206x = 18,957 × 18,957
  4. Step 4: Simplify right side
    12,206x = 359,367,849
  5. Step 5: Solve for x
    x = 359,367,849/12,206
  6. Step 6: Final answer
    x = 29,441.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.