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Finding the Third Proportional to 1,381.64 and 2,843.02

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Solution

The third proportional to 1,381.64 and 2,843.02 is: 5,850.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.64 : 2,843.02 = 2,843.02 : x
  2. Step 2: Convert to fraction form
    1,381.64/2,843.02 = 2,843.02/x
  3. Step 3: Cross multiply
    1,381.64x = 2,843.02 × 2,843.02
  4. Step 4: Simplify right side
    1,381.64x = 8,082,737.84
  5. Step 5: Solve for x
    x = 8,082,737.84/1,381.64
  6. Step 6: Final answer
    x = 5,850.10

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.