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Finding the Third Proportional to 36,336 and 50,039

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Solution

The third proportional to 36,336 and 50,039 is: 68,909.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,336 : 50,039 = 50,039 : x
  2. Step 2: Convert to fraction form
    36,336/50,039 = 50,039/x
  3. Step 3: Cross multiply
    36,336x = 50,039 × 50,039
  4. Step 4: Simplify right side
    36,336x = 2,503,901,521
  5. Step 5: Solve for x
    x = 2,503,901,521/36,336
  6. Step 6: Final answer
    x = 68,909.66

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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.