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Finding the Third Proportional to 14,847 and 23,676

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Solution

The third proportional to 14,847 and 23,676 is: 37,755.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,847 : 23,676 = 23,676 : x
  2. Step 2: Convert to fraction form
    14,847/23,676 = 23,676/x
  3. Step 3: Cross multiply
    14,847x = 23,676 × 23,676
  4. Step 4: Simplify right side
    14,847x = 560,552,976
  5. Step 5: Solve for x
    x = 560,552,976/14,847
  6. Step 6: Final answer
    x = 37,755.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.