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Finding the Third Proportional to 36,414 and 49,835

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Solution

The third proportional to 36,414 and 49,835 is: 68,202.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,414 : 49,835 = 49,835 : x
  2. Step 2: Convert to fraction form
    36,414/49,835 = 49,835/x
  3. Step 3: Cross multiply
    36,414x = 49,835 × 49,835
  4. Step 4: Simplify right side
    36,414x = 2,483,527,225
  5. Step 5: Solve for x
    x = 2,483,527,225/36,414
  6. Step 6: Final answer
    x = 68,202.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.