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Finding the Third Proportional to 11,769.05 and 16,775.23

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Solution

The third proportional to 11,769.05 and 16,775.23 is: 23,910.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769.05 : 16,775.23 = 16,775.23 : x
  2. Step 2: Convert to fraction form
    11,769.05/16,775.23 = 16,775.23/x
  3. Step 3: Cross multiply
    11,769.05x = 16,775.23 × 16,775.23
  4. Step 4: Simplify right side
    11,769.05x = 281,408,226.22
  5. Step 5: Solve for x
    x = 281,408,226.22/11,769.05
  6. Step 6: Final answer
    x = 23,910.88

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.