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Finding the Third Proportional to 22,016 and 33,848

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Solution

The third proportional to 22,016 and 33,848 is: 52,038.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,016 : 33,848 = 33,848 : x
  2. Step 2: Convert to fraction form
    22,016/33,848 = 33,848/x
  3. Step 3: Cross multiply
    22,016x = 33,848 × 33,848
  4. Step 4: Simplify right side
    22,016x = 1,145,687,104
  5. Step 5: Solve for x
    x = 1,145,687,104/22,016
  6. Step 6: Final answer
    x = 52,038.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.