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Finding the Third Proportional to 36,616 and 79,945

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Solution

The third proportional to 36,616 and 79,945 is: 174,546.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,616 : 79,945 = 79,945 : x
  2. Step 2: Convert to fraction form
    36,616/79,945 = 79,945/x
  3. Step 3: Cross multiply
    36,616x = 79,945 × 79,945
  4. Step 4: Simplify right side
    36,616x = 6,391,203,025
  5. Step 5: Solve for x
    x = 6,391,203,025/36,616
  6. Step 6: Final answer
    x = 174,546.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.