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Finding the Third Proportional to 6,896 and 11,736

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Solution

The third proportional to 6,896 and 11,736 is: 19,972.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896 : 11,736 = 11,736 : x
  2. Step 2: Convert to fraction form
    6,896/11,736 = 11,736/x
  3. Step 3: Cross multiply
    6,896x = 11,736 × 11,736
  4. Step 4: Simplify right side
    6,896x = 137,733,696
  5. Step 5: Solve for x
    x = 137,733,696/6,896
  6. Step 6: Final answer
    x = 19,972.98

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.