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Finding the Third Proportional to 13,640.44 and 21,023.25

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Solution

The third proportional to 13,640.44 and 21,023.25 is: 32,401.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.44 : 21,023.25 = 21,023.25 : x
  2. Step 2: Convert to fraction form
    13,640.44/21,023.25 = 21,023.25/x
  3. Step 3: Cross multiply
    13,640.44x = 21,023.25 × 21,023.25
  4. Step 4: Simplify right side
    13,640.44x = 441,977,040.56
  5. Step 5: Solve for x
    x = 441,977,040.56/13,640.44
  6. Step 6: Final answer
    x = 32,401.97

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.