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Finding the Third Proportional to 16,186 and 21,736

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Solution

The third proportional to 16,186 and 21,736 is: 29,189.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,186 : 21,736 = 21,736 : x
  2. Step 2: Convert to fraction form
    16,186/21,736 = 21,736/x
  3. Step 3: Cross multiply
    16,186x = 21,736 × 21,736
  4. Step 4: Simplify right side
    16,186x = 472,453,696
  5. Step 5: Solve for x
    x = 472,453,696/16,186
  6. Step 6: Final answer
    x = 29,189.03

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.