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Finding the Third Proportional to 2,041.88 and 3,183.05

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Solution

The third proportional to 2,041.88 and 3,183.05 is: 4,962.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.88 : 3,183.05 = 3,183.05 : x
  2. Step 2: Convert to fraction form
    2,041.88/3,183.05 = 3,183.05/x
  3. Step 3: Cross multiply
    2,041.88x = 3,183.05 × 3,183.05
  4. Step 4: Simplify right side
    2,041.88x = 10,131,787.41
  5. Step 5: Solve for x
    x = 10,131,787.41/2,041.88
  6. Step 6: Final answer
    x = 4,962.00

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.