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Finding the Third Proportional to 36,188 and 49,800

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Solution

The third proportional to 36,188 and 49,800 is: 68,532.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,188 : 49,800 = 49,800 : x
  2. Step 2: Convert to fraction form
    36,188/49,800 = 49,800/x
  3. Step 3: Cross multiply
    36,188x = 49,800 × 49,800
  4. Step 4: Simplify right side
    36,188x = 2,480,040,000
  5. Step 5: Solve for x
    x = 2,480,040,000/36,188
  6. Step 6: Final answer
    x = 68,532.11

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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.