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Finding the Third Proportional to 43,795 and 67,734.50

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Solution

The third proportional to 43,795 and 67,734.50 is: 104,759.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,795 : 67,734.50 = 67,734.50 : x
  2. Step 2: Convert to fraction form
    43,795/67,734.50 = 67,734.50/x
  3. Step 3: Cross multiply
    43,795x = 67,734.50 × 67,734.50
  4. Step 4: Simplify right side
    43,795x = 4,587,962,490.25
  5. Step 5: Solve for x
    x = 4,587,962,490.25/43,795
  6. Step 6: Final answer
    x = 104,759.96

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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.