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Finding the Third Proportional to 9,226.41 and 13,805.44

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Solution

The third proportional to 9,226.41 and 13,805.44 is: 20,657.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.41 : 13,805.44 = 13,805.44 : x
  2. Step 2: Convert to fraction form
    9,226.41/13,805.44 = 13,805.44/x
  3. Step 3: Cross multiply
    9,226.41x = 13,805.44 × 13,805.44
  4. Step 4: Simplify right side
    9,226.41x = 190,590,104.57
  5. Step 5: Solve for x
    x = 190,590,104.57/9,226.41
  6. Step 6: Final answer
    x = 20,657.03

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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.