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Finding the Third Proportional to 40,425.75 and 85,961.25

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Solution

The third proportional to 40,425.75 and 85,961.25 is: 182,787.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,425.75 : 85,961.25 = 85,961.25 : x
  2. Step 2: Convert to fraction form
    40,425.75/85,961.25 = 85,961.25/x
  3. Step 3: Cross multiply
    40,425.75x = 85,961.25 × 85,961.25
  4. Step 4: Simplify right side
    40,425.75x = 7,389,336,501.56
  5. Step 5: Solve for x
    x = 7,389,336,501.56/40,425.75
  6. Step 6: Final answer
    x = 182,787.86

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.