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Finding the Third Proportional to 33,050 and 49,611

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Solution

The third proportional to 33,050 and 49,611 is: 74,470.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,050 : 49,611 = 49,611 : x
  2. Step 2: Convert to fraction form
    33,050/49,611 = 49,611/x
  3. Step 3: Cross multiply
    33,050x = 49,611 × 49,611
  4. Step 4: Simplify right side
    33,050x = 2,461,251,321
  5. Step 5: Solve for x
    x = 2,461,251,321/33,050
  6. Step 6: Final answer
    x = 74,470.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.