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Finding the Third Proportional to 17,990 and 27,236.50

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Solution

The third proportional to 17,990 and 27,236.50 is: 41,235.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,990 : 27,236.50 = 27,236.50 : x
  2. Step 2: Convert to fraction form
    17,990/27,236.50 = 27,236.50/x
  3. Step 3: Cross multiply
    17,990x = 27,236.50 × 27,236.50
  4. Step 4: Simplify right side
    17,990x = 741,826,932.25
  5. Step 5: Solve for x
    x = 741,826,932.25/17,990
  6. Step 6: Final answer
    x = 41,235.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.