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Finding the Third Proportional to 8,193.94 and 17,556.19

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Solution

The third proportional to 8,193.94 and 17,556.19 is: 37,615.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.94 : 17,556.19 = 17,556.19 : x
  2. Step 2: Convert to fraction form
    8,193.94/17,556.19 = 17,556.19/x
  3. Step 3: Cross multiply
    8,193.94x = 17,556.19 × 17,556.19
  4. Step 4: Simplify right side
    8,193.94x = 308,219,719.54
  5. Step 5: Solve for x
    x = 308,219,719.54/8,193.94
  6. Step 6: Final answer
    x = 37,615.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.