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Finding the Third Proportional to 23,848 and 51,676

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Solution

The third proportional to 23,848 and 51,676 is: 111,976.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,848 : 51,676 = 51,676 : x
  2. Step 2: Convert to fraction form
    23,848/51,676 = 51,676/x
  3. Step 3: Cross multiply
    23,848x = 51,676 × 51,676
  4. Step 4: Simplify right side
    23,848x = 2,670,408,976
  5. Step 5: Solve for x
    x = 2,670,408,976/23,848
  6. Step 6: Final answer
    x = 111,976.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.