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Finding the Third Proportional to 19,198 and 41,952

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Solution

The third proportional to 19,198 and 41,952 is: 91,674.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,198 : 41,952 = 41,952 : x
  2. Step 2: Convert to fraction form
    19,198/41,952 = 41,952/x
  3. Step 3: Cross multiply
    19,198x = 41,952 × 41,952
  4. Step 4: Simplify right side
    19,198x = 1,759,970,304
  5. Step 5: Solve for x
    x = 1,759,970,304/19,198
  6. Step 6: Final answer
    x = 91,674.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.