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Finding the Third Proportional to 48,883.50 and 68,220.56

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Solution

The third proportional to 48,883.50 and 68,220.56 is: 95,206.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,883.50 : 68,220.56 = 68,220.56 : x
  2. Step 2: Convert to fraction form
    48,883.50/68,220.56 = 68,220.56/x
  3. Step 3: Cross multiply
    48,883.50x = 68,220.56 × 68,220.56
  4. Step 4: Simplify right side
    48,883.50x = 4,654,045,147.82
  5. Step 5: Solve for x
    x = 4,654,045,147.82/48,883.50
  6. Step 6: Final answer
    x = 95,206.87

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.