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Finding the Third Proportional to 51,812 and 68,771.50

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Solution

The third proportional to 51,812 and 68,771.50 is: 91,282.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,812 : 68,771.50 = 68,771.50 : x
  2. Step 2: Convert to fraction form
    51,812/68,771.50 = 68,771.50/x
  3. Step 3: Cross multiply
    51,812x = 68,771.50 × 68,771.50
  4. Step 4: Simplify right side
    51,812x = 4,729,519,212.25
  5. Step 5: Solve for x
    x = 4,729,519,212.25/51,812
  6. Step 6: Final answer
    x = 91,282.31

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.