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Finding the Third Proportional to 36,504 and 52,751

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Solution

The third proportional to 36,504 and 52,751 is: 76,229.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,504 : 52,751 = 52,751 : x
  2. Step 2: Convert to fraction form
    36,504/52,751 = 52,751/x
  3. Step 3: Cross multiply
    36,504x = 52,751 × 52,751
  4. Step 4: Simplify right side
    36,504x = 2,782,668,001
  5. Step 5: Solve for x
    x = 2,782,668,001/36,504
  6. Step 6: Final answer
    x = 76,229.13

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.