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Finding the Third Proportional to 36,702 and 51,068

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Solution

The third proportional to 36,702 and 51,068 is: 71,057.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,702 : 51,068 = 51,068 : x
  2. Step 2: Convert to fraction form
    36,702/51,068 = 51,068/x
  3. Step 3: Cross multiply
    36,702x = 51,068 × 51,068
  4. Step 4: Simplify right side
    36,702x = 2,607,940,624
  5. Step 5: Solve for x
    x = 2,607,940,624/36,702
  6. Step 6: Final answer
    x = 71,057.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.