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Finding the Third Proportional to 23,108 and 48,976

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Solution

The third proportional to 23,108 and 48,976 is: 103,801.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,108 : 48,976 = 48,976 : x
  2. Step 2: Convert to fraction form
    23,108/48,976 = 48,976/x
  3. Step 3: Cross multiply
    23,108x = 48,976 × 48,976
  4. Step 4: Simplify right side
    23,108x = 2,398,648,576
  5. Step 5: Solve for x
    x = 2,398,648,576/23,108
  6. Step 6: Final answer
    x = 103,801.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.