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Finding the Third Proportional to 5,944 and 13,676

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Solution

The third proportional to 5,944 and 13,676 is: 31,465.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944 : 13,676 = 13,676 : x
  2. Step 2: Convert to fraction form
    5,944/13,676 = 13,676/x
  3. Step 3: Cross multiply
    5,944x = 13,676 × 13,676
  4. Step 4: Simplify right side
    5,944x = 187,032,976
  5. Step 5: Solve for x
    x = 187,032,976/5,944
  6. Step 6: Final answer
    x = 31,465.84

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.