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Finding the Third Proportional to 36,313 and 50,005

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Solution

The third proportional to 36,313 and 50,005 is: 68,859.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,313 : 50,005 = 50,005 : x
  2. Step 2: Convert to fraction form
    36,313/50,005 = 50,005/x
  3. Step 3: Cross multiply
    36,313x = 50,005 × 50,005
  4. Step 4: Simplify right side
    36,313x = 2,500,500,025
  5. Step 5: Solve for x
    x = 2,500,500,025/36,313
  6. Step 6: Final answer
    x = 68,859.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.