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Finding the Third Proportional to 38,236 and 92,994

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Solution

The third proportional to 38,236 and 92,994 is: 226,171.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,236 : 92,994 = 92,994 : x
  2. Step 2: Convert to fraction form
    38,236/92,994 = 92,994/x
  3. Step 3: Cross multiply
    38,236x = 92,994 × 92,994
  4. Step 4: Simplify right side
    38,236x = 8,647,884,036
  5. Step 5: Solve for x
    x = 8,647,884,036/38,236
  6. Step 6: Final answer
    x = 226,171.25

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.