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Finding the Third Proportional to 22,162 and 47,848

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Solution

The third proportional to 22,162 and 47,848 is: 103,304.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,162 : 47,848 = 47,848 : x
  2. Step 2: Convert to fraction form
    22,162/47,848 = 47,848/x
  3. Step 3: Cross multiply
    22,162x = 47,848 × 47,848
  4. Step 4: Simplify right side
    22,162x = 2,289,431,104
  5. Step 5: Solve for x
    x = 2,289,431,104/22,162
  6. Step 6: Final answer
    x = 103,304.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.