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Finding the Third Proportional to 11,867.63 and 17,828.44

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Solution

The third proportional to 11,867.63 and 17,828.44 is: 26,783.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867.63 : 17,828.44 = 17,828.44 : x
  2. Step 2: Convert to fraction form
    11,867.63/17,828.44 = 17,828.44/x
  3. Step 3: Cross multiply
    11,867.63x = 17,828.44 × 17,828.44
  4. Step 4: Simplify right side
    11,867.63x = 317,853,183.69
  5. Step 5: Solve for x
    x = 317,853,183.69/11,867.63
  6. Step 6: Final answer
    x = 26,783.22

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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.