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Finding the Third Proportional to 4,166.44 and 9,573.19

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Solution

The third proportional to 4,166.44 and 9,573.19 is: 21,996.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.44 : 9,573.19 = 9,573.19 : x
  2. Step 2: Convert to fraction form
    4,166.44/9,573.19 = 9,573.19/x
  3. Step 3: Cross multiply
    4,166.44x = 9,573.19 × 9,573.19
  4. Step 4: Simplify right side
    4,166.44x = 91,645,918.91
  5. Step 5: Solve for x
    x = 91,645,918.91/4,166.44
  6. Step 6: Final answer
    x = 21,996.23

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.