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Finding the Third Proportional to 33,231 and 44,770.50

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Solution

The third proportional to 33,231 and 44,770.50 is: 60,317.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,231 : 44,770.50 = 44,770.50 : x
  2. Step 2: Convert to fraction form
    33,231/44,770.50 = 44,770.50/x
  3. Step 3: Cross multiply
    33,231x = 44,770.50 × 44,770.50
  4. Step 4: Simplify right side
    33,231x = 2,004,397,670.25
  5. Step 5: Solve for x
    x = 2,004,397,670.25/33,231
  6. Step 6: Final answer
    x = 60,317.10

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.