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Finding the Third Proportional to 33,523.88 and 69,803.44

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Solution

The third proportional to 33,523.88 and 69,803.44 is: 145,344.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,523.88 : 69,803.44 = 69,803.44 : x
  2. Step 2: Convert to fraction form
    33,523.88/69,803.44 = 69,803.44/x
  3. Step 3: Cross multiply
    33,523.88x = 69,803.44 × 69,803.44
  4. Step 4: Simplify right side
    33,523.88x = 4,872,519,886.82
  5. Step 5: Solve for x
    x = 4,872,519,886.82/33,523.88
  6. Step 6: Final answer
    x = 145,344.77

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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.