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Finding the Third Proportional to 6,760 and 11,554

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Solution

The third proportional to 6,760 and 11,554 is: 19,747.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,760 : 11,554 = 11,554 : x
  2. Step 2: Convert to fraction form
    6,760/11,554 = 11,554/x
  3. Step 3: Cross multiply
    6,760x = 11,554 × 11,554
  4. Step 4: Simplify right side
    6,760x = 133,494,916
  5. Step 5: Solve for x
    x = 133,494,916/6,760
  6. Step 6: Final answer
    x = 19,747.77

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.