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Finding the Third Proportional to 43,768.50 and 66,171

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Solution

The third proportional to 43,768.50 and 66,171 is: 100,040.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,768.50 : 66,171 = 66,171 : x
  2. Step 2: Convert to fraction form
    43,768.50/66,171 = 66,171/x
  3. Step 3: Cross multiply
    43,768.50x = 66,171 × 66,171
  4. Step 4: Simplify right side
    43,768.50x = 4,378,601,241
  5. Step 5: Solve for x
    x = 4,378,601,241/43,768.50
  6. Step 6: Final answer
    x = 100,040.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.