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Finding the Third Proportional to 2,093.63 and 2,843.30

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Solution

The third proportional to 2,093.63 and 2,843.30 is: 3,861.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.63 : 2,843.30 = 2,843.30 : x
  2. Step 2: Convert to fraction form
    2,093.63/2,843.30 = 2,843.30/x
  3. Step 3: Cross multiply
    2,093.63x = 2,843.30 × 2,843.30
  4. Step 4: Simplify right side
    2,093.63x = 8,084,337.12
  5. Step 5: Solve for x
    x = 8,084,337.12/2,093.63
  6. Step 6: Final answer
    x = 3,861.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.