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Finding the Third Proportional to 7,198 and 9,873

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Solution

The third proportional to 7,198 and 9,873 is: 13,542.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198 : 9,873 = 9,873 : x
  2. Step 2: Convert to fraction form
    7,198/9,873 = 9,873/x
  3. Step 3: Cross multiply
    7,198x = 9,873 × 9,873
  4. Step 4: Simplify right side
    7,198x = 97,476,129
  5. Step 5: Solve for x
    x = 97,476,129/7,198
  6. Step 6: Final answer
    x = 13,542.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.