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Finding the Third Proportional to 27,389 and 30,269

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Solution

The third proportional to 27,389 and 30,269 is: 33,451.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,389 : 30,269 = 30,269 : x
  2. Step 2: Convert to fraction form
    27,389/30,269 = 30,269/x
  3. Step 3: Cross multiply
    27,389x = 30,269 × 30,269
  4. Step 4: Simplify right side
    27,389x = 916,212,361
  5. Step 5: Solve for x
    x = 916,212,361/27,389
  6. Step 6: Final answer
    x = 33,451.84

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.