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Finding the Third Proportional to 3,105.56 and 4,751.44

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Solution

The third proportional to 3,105.56 and 4,751.44 is: 7,269.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.56 : 4,751.44 = 4,751.44 : x
  2. Step 2: Convert to fraction form
    3,105.56/4,751.44 = 4,751.44/x
  3. Step 3: Cross multiply
    3,105.56x = 4,751.44 × 4,751.44
  4. Step 4: Simplify right side
    3,105.56x = 22,576,158.32
  5. Step 5: Solve for x
    x = 22,576,158.32/3,105.56
  6. Step 6: Final answer
    x = 7,269.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.