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Finding the Third Proportional to 27,016 and 36,344

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Solution

The third proportional to 27,016 and 36,344 is: 48,892.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,016 : 36,344 = 36,344 : x
  2. Step 2: Convert to fraction form
    27,016/36,344 = 36,344/x
  3. Step 3: Cross multiply
    27,016x = 36,344 × 36,344
  4. Step 4: Simplify right side
    27,016x = 1,320,886,336
  5. Step 5: Solve for x
    x = 1,320,886,336/27,016
  6. Step 6: Final answer
    x = 48,892.74

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.