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Finding the Third Proportional to 36,317 and 50,011

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Solution

The third proportional to 36,317 and 50,011 is: 68,868.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,317 : 50,011 = 50,011 : x
  2. Step 2: Convert to fraction form
    36,317/50,011 = 50,011/x
  3. Step 3: Cross multiply
    36,317x = 50,011 × 50,011
  4. Step 4: Simplify right side
    36,317x = 2,501,100,121
  5. Step 5: Solve for x
    x = 2,501,100,121/36,317
  6. Step 6: Final answer
    x = 68,868.58

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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.