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Finding the Third Proportional to 33,202.50 and 49,333.50

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Solution

The third proportional to 33,202.50 and 49,333.50 is: 73,301.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,202.50 : 49,333.50 = 49,333.50 : x
  2. Step 2: Convert to fraction form
    33,202.50/49,333.50 = 49,333.50/x
  3. Step 3: Cross multiply
    33,202.50x = 49,333.50 × 49,333.50
  4. Step 4: Simplify right side
    33,202.50x = 2,433,794,222.25
  5. Step 5: Solve for x
    x = 2,433,794,222.25/33,202.50
  6. Step 6: Final answer
    x = 73,301.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.