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Finding the Third Proportional to 2,093.06 and 2,997.56

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Solution

The third proportional to 2,093.06 and 2,997.56 is: 4,292.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.06 : 2,997.56 = 2,997.56 : x
  2. Step 2: Convert to fraction form
    2,093.06/2,997.56 = 2,997.56/x
  3. Step 3: Cross multiply
    2,093.06x = 2,997.56 × 2,997.56
  4. Step 4: Simplify right side
    2,093.06x = 8,985,380.94
  5. Step 5: Solve for x
    x = 8,985,380.94/2,093.06
  6. Step 6: Final answer
    x = 4,292.93

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.