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Finding the Third Proportional to 3,556.56 and 5,243.44

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Solution

The third proportional to 3,556.56 and 5,243.44 is: 7,730.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,556.56 : 5,243.44 = 5,243.44 : x
  2. Step 2: Convert to fraction form
    3,556.56/5,243.44 = 5,243.44/x
  3. Step 3: Cross multiply
    3,556.56x = 5,243.44 × 5,243.44
  4. Step 4: Simplify right side
    3,556.56x = 27,493,636.82
  5. Step 5: Solve for x
    x = 27,493,636.82/3,556.56
  6. Step 6: Final answer
    x = 7,730.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.