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Finding the Third Proportional to 33,994 and 49,990

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Solution

The third proportional to 33,994 and 49,990 is: 73,512.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,994 : 49,990 = 49,990 : x
  2. Step 2: Convert to fraction form
    33,994/49,990 = 49,990/x
  3. Step 3: Cross multiply
    33,994x = 49,990 × 49,990
  4. Step 4: Simplify right side
    33,994x = 2,499,000,100
  5. Step 5: Solve for x
    x = 2,499,000,100/33,994
  6. Step 6: Final answer
    x = 73,512.98

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.