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Finding the Third Proportional to 13,198 and 28,676

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Solution

The third proportional to 13,198 and 28,676 is: 62,305.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198 : 28,676 = 28,676 : x
  2. Step 2: Convert to fraction form
    13,198/28,676 = 28,676/x
  3. Step 3: Cross multiply
    13,198x = 28,676 × 28,676
  4. Step 4: Simplify right side
    13,198x = 822,312,976
  5. Step 5: Solve for x
    x = 822,312,976/13,198
  6. Step 6: Final answer
    x = 62,305.88

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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.