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Finding the Third Proportional to 33,667.31 and 51,201.28

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Solution

The third proportional to 33,667.31 and 51,201.28 is: 77,866.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,667.31 : 51,201.28 = 51,201.28 : x
  2. Step 2: Convert to fraction form
    33,667.31/51,201.28 = 51,201.28/x
  3. Step 3: Cross multiply
    33,667.31x = 51,201.28 × 51,201.28
  4. Step 4: Simplify right side
    33,667.31x = 2,621,571,201.64
  5. Step 5: Solve for x
    x = 2,621,571,201.64/33,667.31
  6. Step 6: Final answer
    x = 77,866.96

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.