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Finding the Third Proportional to 36,152 and 54,016

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Solution

The third proportional to 36,152 and 54,016 is: 80,707.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,152 : 54,016 = 54,016 : x
  2. Step 2: Convert to fraction form
    36,152/54,016 = 54,016/x
  3. Step 3: Cross multiply
    36,152x = 54,016 × 54,016
  4. Step 4: Simplify right side
    36,152x = 2,917,728,256
  5. Step 5: Solve for x
    x = 2,917,728,256/36,152
  6. Step 6: Final answer
    x = 80,707.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.