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Finding the Third Proportional to 13,224.09 and 20,255.06

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Solution

The third proportional to 13,224.09 and 20,255.06 is: 31,024.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,224.09 : 20,255.06 = 20,255.06 : x
  2. Step 2: Convert to fraction form
    13,224.09/20,255.06 = 20,255.06/x
  3. Step 3: Cross multiply
    13,224.09x = 20,255.06 × 20,255.06
  4. Step 4: Simplify right side
    13,224.09x = 410,267,556.88
  5. Step 5: Solve for x
    x = 410,267,556.88/13,224.09
  6. Step 6: Final answer
    x = 31,024.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.