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Finding the Third Proportional to 11,626 and 17,393.25

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Solution

The third proportional to 11,626 and 17,393.25 is: 26,021.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,626 : 17,393.25 = 17,393.25 : x
  2. Step 2: Convert to fraction form
    11,626/17,393.25 = 17,393.25/x
  3. Step 3: Cross multiply
    11,626x = 17,393.25 × 17,393.25
  4. Step 4: Simplify right side
    11,626x = 302,525,145.56
  5. Step 5: Solve for x
    x = 302,525,145.56/11,626
  6. Step 6: Final answer
    x = 26,021.43

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