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Finding the Third Proportional to 33,533.75 and 69,822.25

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Solution

The third proportional to 33,533.75 and 69,822.25 is: 145,380.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,533.75 : 69,822.25 = 69,822.25 : x
  2. Step 2: Convert to fraction form
    33,533.75/69,822.25 = 69,822.25/x
  3. Step 3: Cross multiply
    33,533.75x = 69,822.25 × 69,822.25
  4. Step 4: Simplify right side
    33,533.75x = 4,875,146,595.06
  5. Step 5: Solve for x
    x = 4,875,146,595.06/33,533.75
  6. Step 6: Final answer
    x = 145,380.30

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.