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Finding the Third Proportional to 33,989.25 and 72,105

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Solution

The third proportional to 33,989.25 and 72,105 is: 152,963.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,989.25 : 72,105 = 72,105 : x
  2. Step 2: Convert to fraction form
    33,989.25/72,105 = 72,105/x
  3. Step 3: Cross multiply
    33,989.25x = 72,105 × 72,105
  4. Step 4: Simplify right side
    33,989.25x = 5,199,131,025
  5. Step 5: Solve for x
    x = 5,199,131,025/33,989.25
  6. Step 6: Final answer
    x = 152,963.98

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.