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Finding the Third Proportional to 33,643.88 and 72,861.75

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Solution

The third proportional to 33,643.88 and 72,861.75 is: 157,794.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,643.88 : 72,861.75 = 72,861.75 : x
  2. Step 2: Convert to fraction form
    33,643.88/72,861.75 = 72,861.75/x
  3. Step 3: Cross multiply
    33,643.88x = 72,861.75 × 72,861.75
  4. Step 4: Simplify right side
    33,643.88x = 5,308,834,613.06
  5. Step 5: Solve for x
    x = 5,308,834,613.06/33,643.88
  6. Step 6: Final answer
    x = 157,794.98

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.