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Finding the Third Proportional to 43,810.50 and 67,974

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Solution

The third proportional to 43,810.50 and 67,974 is: 105,464.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,810.50 : 67,974 = 67,974 : x
  2. Step 2: Convert to fraction form
    43,810.50/67,974 = 67,974/x
  3. Step 3: Cross multiply
    43,810.50x = 67,974 × 67,974
  4. Step 4: Simplify right side
    43,810.50x = 4,620,464,676
  5. Step 5: Solve for x
    x = 4,620,464,676/43,810.50
  6. Step 6: Final answer
    x = 105,464.78

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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.