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Finding the Third Proportional to 18,004.22 and 27,255.09

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Solution

The third proportional to 18,004.22 and 27,255.09 is: 41,259.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,004.22 : 27,255.09 = 27,255.09 : x
  2. Step 2: Convert to fraction form
    18,004.22/27,255.09 = 27,255.09/x
  3. Step 3: Cross multiply
    18,004.22x = 27,255.09 × 27,255.09
  4. Step 4: Simplify right side
    18,004.22x = 742,840,135.32
  5. Step 5: Solve for x
    x = 742,840,135.32/18,004.22
  6. Step 6: Final answer
    x = 41,259.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.