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Finding the Third Proportional to 11,198.25 and 16,541.72

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Solution

The third proportional to 11,198.25 and 16,541.72 is: 24,434.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,198.25 : 16,541.72 = 16,541.72 : x
  2. Step 2: Convert to fraction form
    11,198.25/16,541.72 = 16,541.72/x
  3. Step 3: Cross multiply
    11,198.25x = 16,541.72 × 16,541.72
  4. Step 4: Simplify right side
    11,198.25x = 273,628,459.20
  5. Step 5: Solve for x
    x = 273,628,459.20/11,198.25
  6. Step 6: Final answer
    x = 24,434.93

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.