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Finding the Third Proportional to 9,198 and 13,825

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Solution

The third proportional to 9,198 and 13,825 is: 20,779.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198 : 13,825 = 13,825 : x
  2. Step 2: Convert to fraction form
    9,198/13,825 = 13,825/x
  3. Step 3: Cross multiply
    9,198x = 13,825 × 13,825
  4. Step 4: Simplify right side
    9,198x = 191,130,625
  5. Step 5: Solve for x
    x = 191,130,625/9,198
  6. Step 6: Final answer
    x = 20,779.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.