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Finding the Third Proportional to 3,245.06 and 4,777.73

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Solution

The third proportional to 3,245.06 and 4,777.73 is: 7,034.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245.06 : 4,777.73 = 4,777.73 : x
  2. Step 2: Convert to fraction form
    3,245.06/4,777.73 = 4,777.73/x
  3. Step 3: Cross multiply
    3,245.06x = 4,777.73 × 4,777.73
  4. Step 4: Simplify right side
    3,245.06x = 22,826,745.76
  5. Step 5: Solve for x
    x = 22,826,745.76/3,245.06
  6. Step 6: Final answer
    x = 7,034.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.