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Finding the Third Proportional to 6,198 and 11,316

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Solution

The third proportional to 6,198 and 11,316 is: 20,660.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198 : 11,316 = 11,316 : x
  2. Step 2: Convert to fraction form
    6,198/11,316 = 11,316/x
  3. Step 3: Cross multiply
    6,198x = 11,316 × 11,316
  4. Step 4: Simplify right side
    6,198x = 128,051,856
  5. Step 5: Solve for x
    x = 128,051,856/6,198
  6. Step 6: Final answer
    x = 20,660.19

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.