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Finding the Third Proportional to 33,404.63 and 69,573.25

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Solution

The third proportional to 33,404.63 and 69,573.25 is: 144,903.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,404.63 : 69,573.25 = 69,573.25 : x
  2. Step 2: Convert to fraction form
    33,404.63/69,573.25 = 69,573.25/x
  3. Step 3: Cross multiply
    33,404.63x = 69,573.25 × 69,573.25
  4. Step 4: Simplify right side
    33,404.63x = 4,840,437,115.56
  5. Step 5: Solve for x
    x = 4,840,437,115.56/33,404.63
  6. Step 6: Final answer
    x = 144,903.20

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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.