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Finding the Third Proportional to 23,967 and 51,005

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Solution

The third proportional to 23,967 and 51,005 is: 108,545.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,967 : 51,005 = 51,005 : x
  2. Step 2: Convert to fraction form
    23,967/51,005 = 51,005/x
  3. Step 3: Cross multiply
    23,967x = 51,005 × 51,005
  4. Step 4: Simplify right side
    23,967x = 2,601,510,025
  5. Step 5: Solve for x
    x = 2,601,510,025/23,967
  6. Step 6: Final answer
    x = 108,545.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.