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Finding the Third Proportional to 11,623.50 and 21,591.56

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Solution

The third proportional to 11,623.50 and 21,591.56 is: 40,108.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,623.50 : 21,591.56 = 21,591.56 : x
  2. Step 2: Convert to fraction form
    11,623.50/21,591.56 = 21,591.56/x
  3. Step 3: Cross multiply
    11,623.50x = 21,591.56 × 21,591.56
  4. Step 4: Simplify right side
    11,623.50x = 466,195,571.19
  5. Step 5: Solve for x
    x = 466,195,571.19/11,623.50
  6. Step 6: Final answer
    x = 40,108.02

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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.