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Finding the Third Proportional to 43,364.11 and 67,967.86

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Solution

The third proportional to 43,364.11 and 67,967.86 is: 106,531.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,364.11 : 67,967.86 = 67,967.86 : x
  2. Step 2: Convert to fraction form
    43,364.11/67,967.86 = 67,967.86/x
  3. Step 3: Cross multiply
    43,364.11x = 67,967.86 × 67,967.86
  4. Step 4: Simplify right side
    43,364.11x = 4,619,629,908.02
  5. Step 5: Solve for x
    x = 4,619,629,908.02/43,364.11
  6. Step 6: Final answer
    x = 106,531.18

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.