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Finding the Third Proportional to 23,936 and 34,688

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Solution

The third proportional to 23,936 and 34,688 is: 50,269.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,936 : 34,688 = 34,688 : x
  2. Step 2: Convert to fraction form
    23,936/34,688 = 34,688/x
  3. Step 3: Cross multiply
    23,936x = 34,688 × 34,688
  4. Step 4: Simplify right side
    23,936x = 1,203,257,344
  5. Step 5: Solve for x
    x = 1,203,257,344/23,936
  6. Step 6: Final answer
    x = 50,269.78

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.