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Finding the Third Proportional to 9,912.50 and 21,796.63

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Solution

The third proportional to 9,912.50 and 21,796.63 is: 47,928.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.50 : 21,796.63 = 21,796.63 : x
  2. Step 2: Convert to fraction form
    9,912.50/21,796.63 = 21,796.63/x
  3. Step 3: Cross multiply
    9,912.50x = 21,796.63 × 21,796.63
  4. Step 4: Simplify right side
    9,912.50x = 475,092,861.39
  5. Step 5: Solve for x
    x = 475,092,861.39/9,912.50
  6. Step 6: Final answer
    x = 47,928.66

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.