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Finding the Third Proportional to 11,993.06 and 16,775.44

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Solution

The third proportional to 11,993.06 and 16,775.44 is: 23,464.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.06 : 16,775.44 = 16,775.44 : x
  2. Step 2: Convert to fraction form
    11,993.06/16,775.44 = 16,775.44/x
  3. Step 3: Cross multiply
    11,993.06x = 16,775.44 × 16,775.44
  4. Step 4: Simplify right side
    11,993.06x = 281,415,303.32
  5. Step 5: Solve for x
    x = 281,415,303.32/11,993.06
  6. Step 6: Final answer
    x = 23,464.84

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.