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Finding the Third Proportional to 33,923.26 and 72,355.21

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Solution

The third proportional to 33,923.26 and 72,355.21 is: 154,327.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,923.26 : 72,355.21 = 72,355.21 : x
  2. Step 2: Convert to fraction form
    33,923.26/72,355.21 = 72,355.21/x
  3. Step 3: Cross multiply
    33,923.26x = 72,355.21 × 72,355.21
  4. Step 4: Simplify right side
    33,923.26x = 5,235,276,090.52
  5. Step 5: Solve for x
    x = 5,235,276,090.52/33,923.26
  6. Step 6: Final answer
    x = 154,327.03

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.