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Finding the Third Proportional to 7,743.94 and 17,099.44

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Solution

The third proportional to 7,743.94 and 17,099.44 is: 37,757.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743.94 : 17,099.44 = 17,099.44 : x
  2. Step 2: Convert to fraction form
    7,743.94/17,099.44 = 17,099.44/x
  3. Step 3: Cross multiply
    7,743.94x = 17,099.44 × 17,099.44
  4. Step 4: Simplify right side
    7,743.94x = 292,390,762.82
  5. Step 5: Solve for x
    x = 292,390,762.82/7,743.94
  6. Step 6: Final answer
    x = 37,757.38

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.