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Finding the Third Proportional to 36,038 and 54,003

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Solution

The third proportional to 36,038 and 54,003 is: 80,923.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,038 : 54,003 = 54,003 : x
  2. Step 2: Convert to fraction form
    36,038/54,003 = 54,003/x
  3. Step 3: Cross multiply
    36,038x = 54,003 × 54,003
  4. Step 4: Simplify right side
    36,038x = 2,916,324,009
  5. Step 5: Solve for x
    x = 2,916,324,009/36,038
  6. Step 6: Final answer
    x = 80,923.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.