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Finding the Third Proportional to 33,604.50 and 49,638.75

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Solution

The third proportional to 33,604.50 and 49,638.75 is: 73,323.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,604.50 : 49,638.75 = 49,638.75 : x
  2. Step 2: Convert to fraction form
    33,604.50/49,638.75 = 49,638.75/x
  3. Step 3: Cross multiply
    33,604.50x = 49,638.75 × 49,638.75
  4. Step 4: Simplify right side
    33,604.50x = 2,464,005,501.56
  5. Step 5: Solve for x
    x = 2,464,005,501.56/33,604.50
  6. Step 6: Final answer
    x = 73,323.68

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.