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Finding the Third Proportional to 5,995.69 and 13,181.06

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Solution

The third proportional to 5,995.69 and 13,181.06 is: 28,977.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,995.69 : 13,181.06 = 13,181.06 : x
  2. Step 2: Convert to fraction form
    5,995.69/13,181.06 = 13,181.06/x
  3. Step 3: Cross multiply
    5,995.69x = 13,181.06 × 13,181.06
  4. Step 4: Simplify right side
    5,995.69x = 173,740,408.63
  5. Step 5: Solve for x
    x = 173,740,408.63/5,995.69
  6. Step 6: Final answer
    x = 28,977.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.