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Finding the Third Proportional to 10,912 and 16,795

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Solution

The third proportional to 10,912 and 16,795 is: 25,849.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,912 : 16,795 = 16,795 : x
  2. Step 2: Convert to fraction form
    10,912/16,795 = 16,795/x
  3. Step 3: Cross multiply
    10,912x = 16,795 × 16,795
  4. Step 4: Simplify right side
    10,912x = 282,072,025
  5. Step 5: Solve for x
    x = 282,072,025/10,912
  6. Step 6: Final answer
    x = 25,849.71

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.