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Finding the Third Proportional to 11,144 and 14,736

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Solution

The third proportional to 11,144 and 14,736 is: 19,485.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,144 : 14,736 = 14,736 : x
  2. Step 2: Convert to fraction form
    11,144/14,736 = 14,736/x
  3. Step 3: Cross multiply
    11,144x = 14,736 × 14,736
  4. Step 4: Simplify right side
    11,144x = 217,149,696
  5. Step 5: Solve for x
    x = 217,149,696/11,144
  6. Step 6: Final answer
    x = 19,485.79

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.