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Finding the Third Proportional to 23,344 and 35,736

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Solution

The third proportional to 23,344 and 35,736 is: 54,706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,344 : 35,736 = 35,736 : x
  2. Step 2: Convert to fraction form
    23,344/35,736 = 35,736/x
  3. Step 3: Cross multiply
    23,344x = 35,736 × 35,736
  4. Step 4: Simplify right side
    23,344x = 1,277,061,696
  5. Step 5: Solve for x
    x = 1,277,061,696/23,344
  6. Step 6: Final answer
    x = 54,706.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.