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Finding the Third Proportional to 33,450 and 49,077

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Solution

The third proportional to 33,450 and 49,077 is: 72,004.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,450 : 49,077 = 49,077 : x
  2. Step 2: Convert to fraction form
    33,450/49,077 = 49,077/x
  3. Step 3: Cross multiply
    33,450x = 49,077 × 49,077
  4. Step 4: Simplify right side
    33,450x = 2,408,551,929
  5. Step 5: Solve for x
    x = 2,408,551,929/33,450
  6. Step 6: Final answer
    x = 72,004.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.