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Finding the Third Proportional to 23,938 and 49,064

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Solution

The third proportional to 23,938 and 49,064 is: 100,562.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,938 : 49,064 = 49,064 : x
  2. Step 2: Convert to fraction form
    23,938/49,064 = 49,064/x
  3. Step 3: Cross multiply
    23,938x = 49,064 × 49,064
  4. Step 4: Simplify right side
    23,938x = 2,407,276,096
  5. Step 5: Solve for x
    x = 2,407,276,096/23,938
  6. Step 6: Final answer
    x = 100,562.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.