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Finding the Third Proportional to 11,199.83 and 16,274.36

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Solution

The third proportional to 11,199.83 and 16,274.36 is: 23,648.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,199.83 : 16,274.36 = 16,274.36 : x
  2. Step 2: Convert to fraction form
    11,199.83/16,274.36 = 16,274.36/x
  3. Step 3: Cross multiply
    11,199.83x = 16,274.36 × 16,274.36
  4. Step 4: Simplify right side
    11,199.83x = 264,854,645.92
  5. Step 5: Solve for x
    x = 264,854,645.92/11,199.83
  6. Step 6: Final answer
    x = 23,648.09

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.