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Finding the Third Proportional to 11,525.41 and 17,290.97

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Solution

The third proportional to 11,525.41 and 17,290.97 is: 25,940.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,525.41 : 17,290.97 = 17,290.97 : x
  2. Step 2: Convert to fraction form
    11,525.41/17,290.97 = 17,290.97/x
  3. Step 3: Cross multiply
    11,525.41x = 17,290.97 × 17,290.97
  4. Step 4: Simplify right side
    11,525.41x = 298,977,600.31
  5. Step 5: Solve for x
    x = 298,977,600.31/11,525.41
  6. Step 6: Final answer
    x = 25,940.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.