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Finding the Third Proportional to 13,625.44 and 20,451.94

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Solution

The third proportional to 13,625.44 and 20,451.94 is: 30,698.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,625.44 : 20,451.94 = 20,451.94 : x
  2. Step 2: Convert to fraction form
    13,625.44/20,451.94 = 20,451.94/x
  3. Step 3: Cross multiply
    13,625.44x = 20,451.94 × 20,451.94
  4. Step 4: Simplify right side
    13,625.44x = 418,281,747.50
  5. Step 5: Solve for x
    x = 418,281,747.50/13,625.44
  6. Step 6: Final answer
    x = 30,698.59

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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.