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Finding the Third Proportional to 9,828 and 19,956

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Solution

The third proportional to 9,828 and 19,956 is: 40,521.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828 : 19,956 = 19,956 : x
  2. Step 2: Convert to fraction form
    9,828/19,956 = 19,956/x
  3. Step 3: Cross multiply
    9,828x = 19,956 × 19,956
  4. Step 4: Simplify right side
    9,828x = 398,241,936
  5. Step 5: Solve for x
    x = 398,241,936/9,828
  6. Step 6: Final answer
    x = 40,521.16

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.