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Finding the Third Proportional to 36,164 and 54,053

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Solution

The third proportional to 36,164 and 54,053 is: 80,791.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,164 : 54,053 = 54,053 : x
  2. Step 2: Convert to fraction form
    36,164/54,053 = 54,053/x
  3. Step 3: Cross multiply
    36,164x = 54,053 × 54,053
  4. Step 4: Simplify right side
    36,164x = 2,921,726,809
  5. Step 5: Solve for x
    x = 2,921,726,809/36,164
  6. Step 6: Final answer
    x = 80,791.03

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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.