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Finding the Third Proportional to 9,192 and 19,956

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Solution

The third proportional to 9,192 and 19,956 is: 43,324.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192 : 19,956 = 19,956 : x
  2. Step 2: Convert to fraction form
    9,192/19,956 = 19,956/x
  3. Step 3: Cross multiply
    9,192x = 19,956 × 19,956
  4. Step 4: Simplify right side
    9,192x = 398,241,936
  5. Step 5: Solve for x
    x = 398,241,936/9,192
  6. Step 6: Final answer
    x = 43,324.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.