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Finding the Third Proportional to 11,049.75 and 16,583.63

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Solution

The third proportional to 11,049.75 and 16,583.63 is: 24,888.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,049.75 : 16,583.63 = 16,583.63 : x
  2. Step 2: Convert to fraction form
    11,049.75/16,583.63 = 16,583.63/x
  3. Step 3: Cross multiply
    11,049.75x = 16,583.63 × 16,583.63
  4. Step 4: Simplify right side
    11,049.75x = 275,016,618.14
  5. Step 5: Solve for x
    x = 275,016,618.14/11,049.75
  6. Step 6: Final answer
    x = 24,888.94

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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.