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Finding the Third Proportional to 27,092 and 43,269

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Solution

The third proportional to 27,092 and 43,269 is: 69,105.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,092 : 43,269 = 43,269 : x
  2. Step 2: Convert to fraction form
    27,092/43,269 = 43,269/x
  3. Step 3: Cross multiply
    27,092x = 43,269 × 43,269
  4. Step 4: Simplify right side
    27,092x = 1,872,206,361
  5. Step 5: Solve for x
    x = 1,872,206,361/27,092
  6. Step 6: Final answer
    x = 69,105.51

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.