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Finding the Third Proportional to 33,007.50 and 64,921.50

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Solution

The third proportional to 33,007.50 and 64,921.50 is: 127,692.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,007.50 : 64,921.50 = 64,921.50 : x
  2. Step 2: Convert to fraction form
    33,007.50/64,921.50 = 64,921.50/x
  3. Step 3: Cross multiply
    33,007.50x = 64,921.50 × 64,921.50
  4. Step 4: Simplify right side
    33,007.50x = 4,214,801,162.25
  5. Step 5: Solve for x
    x = 4,214,801,162.25/33,007.50
  6. Step 6: Final answer
    x = 127,692.23

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.