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Finding the Third Proportional to 15,164 and 27,016

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Solution

The third proportional to 15,164 and 27,016 is: 48,131.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,164 : 27,016 = 27,016 : x
  2. Step 2: Convert to fraction form
    15,164/27,016 = 27,016/x
  3. Step 3: Cross multiply
    15,164x = 27,016 × 27,016
  4. Step 4: Simplify right side
    15,164x = 729,864,256
  5. Step 5: Solve for x
    x = 729,864,256/15,164
  6. Step 6: Final answer
    x = 48,131.38

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.