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Finding the Third Proportional to 2,111.06 and 3,361.78

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Solution

The third proportional to 2,111.06 and 3,361.78 is: 5,353.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.06 : 3,361.78 = 3,361.78 : x
  2. Step 2: Convert to fraction form
    2,111.06/3,361.78 = 3,361.78/x
  3. Step 3: Cross multiply
    2,111.06x = 3,361.78 × 3,361.78
  4. Step 4: Simplify right side
    2,111.06x = 11,301,573.17
  5. Step 5: Solve for x
    x = 11,301,573.17/2,111.06
  6. Step 6: Final answer
    x = 5,353.50

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.