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Finding the Third Proportional to 11,676 and 26,896

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Solution

The third proportional to 11,676 and 26,896 is: 61,955.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676 : 26,896 = 26,896 : x
  2. Step 2: Convert to fraction form
    11,676/26,896 = 26,896/x
  3. Step 3: Cross multiply
    11,676x = 26,896 × 26,896
  4. Step 4: Simplify right side
    11,676x = 723,394,816
  5. Step 5: Solve for x
    x = 723,394,816/11,676
  6. Step 6: Final answer
    x = 61,955.71

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.