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Finding the Third Proportional to 33,755.50 and 72,705

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Solution

The third proportional to 33,755.50 and 72,705 is: 156,597.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,755.50 : 72,705 = 72,705 : x
  2. Step 2: Convert to fraction form
    33,755.50/72,705 = 72,705/x
  3. Step 3: Cross multiply
    33,755.50x = 72,705 × 72,705
  4. Step 4: Simplify right side
    33,755.50x = 5,286,017,025
  5. Step 5: Solve for x
    x = 5,286,017,025/33,755.50
  6. Step 6: Final answer
    x = 156,597.21

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.