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Finding the Third Proportional to 2,093.63 and 3,138.19

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Solution

The third proportional to 2,093.63 and 3,138.19 is: 4,703.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.63 : 3,138.19 = 3,138.19 : x
  2. Step 2: Convert to fraction form
    2,093.63/3,138.19 = 3,138.19/x
  3. Step 3: Cross multiply
    2,093.63x = 3,138.19 × 3,138.19
  4. Step 4: Simplify right side
    2,093.63x = 9,848,220.79
  5. Step 5: Solve for x
    x = 9,848,220.79/2,093.63
  6. Step 6: Final answer
    x = 4,703.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.