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Finding the Third Proportional to 11,198 and 14,767

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Solution

The third proportional to 11,198 and 14,767 is: 19,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,198 : 14,767 = 14,767 : x
  2. Step 2: Convert to fraction form
    11,198/14,767 = 14,767/x
  3. Step 3: Cross multiply
    11,198x = 14,767 × 14,767
  4. Step 4: Simplify right side
    11,198x = 218,064,289
  5. Step 5: Solve for x
    x = 218,064,289/11,198
  6. Step 6: Final answer
    x = 19,473.50

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.