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Finding the Third Proportional to 43,884 and 68,074.50

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Solution

The third proportional to 43,884 and 68,074.50 is: 105,599.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,884 : 68,074.50 = 68,074.50 : x
  2. Step 2: Convert to fraction form
    43,884/68,074.50 = 68,074.50/x
  3. Step 3: Cross multiply
    43,884x = 68,074.50 × 68,074.50
  4. Step 4: Simplify right side
    43,884x = 4,634,137,550.25
  5. Step 5: Solve for x
    x = 4,634,137,550.25/43,884
  6. Step 6: Final answer
    x = 105,599.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.