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Finding the Third Proportional to 2,006.44 and 4,833.56

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Solution

The third proportional to 2,006.44 and 4,833.56 is: 11,644.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.44 : 4,833.56 = 4,833.56 : x
  2. Step 2: Convert to fraction form
    2,006.44/4,833.56 = 4,833.56/x
  3. Step 3: Cross multiply
    2,006.44x = 4,833.56 × 4,833.56
  4. Step 4: Simplify right side
    2,006.44x = 23,363,326.44
  5. Step 5: Solve for x
    x = 23,363,326.44/2,006.44
  6. Step 6: Final answer
    x = 11,644.18

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.