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Finding the Third Proportional to 51,809.50 and 68,769.50

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Solution

The third proportional to 51,809.50 and 68,769.50 is: 91,281.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,809.50 : 68,769.50 = 68,769.50 : x
  2. Step 2: Convert to fraction form
    51,809.50/68,769.50 = 68,769.50/x
  3. Step 3: Cross multiply
    51,809.50x = 68,769.50 × 68,769.50
  4. Step 4: Simplify right side
    51,809.50x = 4,729,244,130.25
  5. Step 5: Solve for x
    x = 4,729,244,130.25/51,809.50
  6. Step 6: Final answer
    x = 91,281.41

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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.