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Finding the Third Proportional to 11,623.50 and 18,719.25

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Solution

The third proportional to 11,623.50 and 18,719.25 is: 30,146.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,623.50 : 18,719.25 = 18,719.25 : x
  2. Step 2: Convert to fraction form
    11,623.50/18,719.25 = 18,719.25/x
  3. Step 3: Cross multiply
    11,623.50x = 18,719.25 × 18,719.25
  4. Step 4: Simplify right side
    11,623.50x = 350,410,320.56
  5. Step 5: Solve for x
    x = 350,410,320.56/11,623.50
  6. Step 6: Final answer
    x = 30,146.71

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.