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Finding the Third Proportional to 23,108 and 49,910

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Solution

The third proportional to 23,108 and 49,910 is: 107,798.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,108 : 49,910 = 49,910 : x
  2. Step 2: Convert to fraction form
    23,108/49,910 = 49,910/x
  3. Step 3: Cross multiply
    23,108x = 49,910 × 49,910
  4. Step 4: Simplify right side
    23,108x = 2,491,008,100
  5. Step 5: Solve for x
    x = 2,491,008,100/23,108
  6. Step 6: Final answer
    x = 107,798.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.