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Finding the Third Proportional to 20,192 and 42,848

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Solution

The third proportional to 20,192 and 42,848 is: 90,924.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,192 : 42,848 = 42,848 : x
  2. Step 2: Convert to fraction form
    20,192/42,848 = 42,848/x
  3. Step 3: Cross multiply
    20,192x = 42,848 × 42,848
  4. Step 4: Simplify right side
    20,192x = 1,835,951,104
  5. Step 5: Solve for x
    x = 1,835,951,104/20,192
  6. Step 6: Final answer
    x = 90,924.68

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.