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Finding the Third Proportional to 9,665.44 and 21,198.94

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Solution

The third proportional to 9,665.44 and 21,198.94 is: 46,495.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.44 : 21,198.94 = 21,198.94 : x
  2. Step 2: Convert to fraction form
    9,665.44/21,198.94 = 21,198.94/x
  3. Step 3: Cross multiply
    9,665.44x = 21,198.94 × 21,198.94
  4. Step 4: Simplify right side
    9,665.44x = 449,394,951.13
  5. Step 5: Solve for x
    x = 449,394,951.13/9,665.44
  6. Step 6: Final answer
    x = 46,495.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.