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Finding the Third Proportional to 6,026 and 13,198

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Solution

The third proportional to 6,026 and 13,198 is: 28,905.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,026 : 13,198 = 13,198 : x
  2. Step 2: Convert to fraction form
    6,026/13,198 = 13,198/x
  3. Step 3: Cross multiply
    6,026x = 13,198 × 13,198
  4. Step 4: Simplify right side
    6,026x = 174,187,204
  5. Step 5: Solve for x
    x = 174,187,204/6,026
  6. Step 6: Final answer
    x = 28,905.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.