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Finding the Third Proportional to 4,772.67 and 6,042.73

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Solution

The third proportional to 4,772.67 and 6,042.73 is: 7,650.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772.67 : 6,042.73 = 6,042.73 : x
  2. Step 2: Convert to fraction form
    4,772.67/6,042.73 = 6,042.73/x
  3. Step 3: Cross multiply
    4,772.67x = 6,042.73 × 6,042.73
  4. Step 4: Simplify right side
    4,772.67x = 36,514,544.31
  5. Step 5: Solve for x
    x = 36,514,544.31/4,772.67
  6. Step 6: Final answer
    x = 7,650.76

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.