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Finding the Third Proportional to 12,092 and 18,212

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Solution

The third proportional to 12,092 and 18,212 is: 27,429.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,092 : 18,212 = 18,212 : x
  2. Step 2: Convert to fraction form
    12,092/18,212 = 18,212/x
  3. Step 3: Cross multiply
    12,092x = 18,212 × 18,212
  4. Step 4: Simplify right side
    12,092x = 331,676,944
  5. Step 5: Solve for x
    x = 331,676,944/12,092
  6. Step 6: Final answer
    x = 27,429.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.