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Finding the Third Proportional to 11,047 and 16,827

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Solution

The third proportional to 11,047 and 16,827 is: 25,631.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,047 : 16,827 = 16,827 : x
  2. Step 2: Convert to fraction form
    11,047/16,827 = 16,827/x
  3. Step 3: Cross multiply
    11,047x = 16,827 × 16,827
  4. Step 4: Simplify right side
    11,047x = 283,147,929
  5. Step 5: Solve for x
    x = 283,147,929/11,047
  6. Step 6: Final answer
    x = 25,631.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.