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Finding the Third Proportional to 33,401.25 and 69,557.63

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Solution

The third proportional to 33,401.25 and 69,557.63 is: 144,852.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,401.25 : 69,557.63 = 69,557.63 : x
  2. Step 2: Convert to fraction form
    33,401.25/69,557.63 = 69,557.63/x
  3. Step 3: Cross multiply
    33,401.25x = 69,557.63 × 69,557.63
  4. Step 4: Simplify right side
    33,401.25x = 4,838,263,195.64
  5. Step 5: Solve for x
    x = 4,838,263,195.64/33,401.25
  6. Step 6: Final answer
    x = 144,852.76

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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.