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Finding the Third Proportional to 40,072.50 and 56,958.75

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Solution

The third proportional to 40,072.50 and 56,958.75 is: 80,960.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,072.50 : 56,958.75 = 56,958.75 : x
  2. Step 2: Convert to fraction form
    40,072.50/56,958.75 = 56,958.75/x
  3. Step 3: Cross multiply
    40,072.50x = 56,958.75 × 56,958.75
  4. Step 4: Simplify right side
    40,072.50x = 3,244,299,201.56
  5. Step 5: Solve for x
    x = 3,244,299,201.56/40,072.50
  6. Step 6: Final answer
    x = 80,960.74

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.