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Finding the Third Proportional to 18,728 and 23,736

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Solution

The third proportional to 18,728 and 23,736 is: 30,083.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,728 : 23,736 = 23,736 : x
  2. Step 2: Convert to fraction form
    18,728/23,736 = 23,736/x
  3. Step 3: Cross multiply
    18,728x = 23,736 × 23,736
  4. Step 4: Simplify right side
    18,728x = 563,397,696
  5. Step 5: Solve for x
    x = 563,397,696/18,728
  6. Step 6: Final answer
    x = 30,083.17

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.