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Finding the Third Proportional to 33,167.81 and 69,410.25

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Solution

The third proportional to 33,167.81 and 69,410.25 is: 145,254.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,167.81 : 69,410.25 = 69,410.25 : x
  2. Step 2: Convert to fraction form
    33,167.81/69,410.25 = 69,410.25/x
  3. Step 3: Cross multiply
    33,167.81x = 69,410.25 × 69,410.25
  4. Step 4: Simplify right side
    33,167.81x = 4,817,782,805.06
  5. Step 5: Solve for x
    x = 4,817,782,805.06/33,167.81
  6. Step 6: Final answer
    x = 145,254.76

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.