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Finding the Third Proportional to 6,198.19 and 12,897.56

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Solution

The third proportional to 6,198.19 and 12,897.56 is: 26,838.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.19 : 12,897.56 = 12,897.56 : x
  2. Step 2: Convert to fraction form
    6,198.19/12,897.56 = 12,897.56/x
  3. Step 3: Cross multiply
    6,198.19x = 12,897.56 × 12,897.56
  4. Step 4: Simplify right side
    6,198.19x = 166,347,118.44
  5. Step 5: Solve for x
    x = 166,347,118.44/6,198.19
  6. Step 6: Final answer
    x = 26,838.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.