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Finding the Third Proportional to 13,216.75 and 17,941

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Solution

The third proportional to 13,216.75 and 17,941 is: 24,353.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,216.75 : 17,941 = 17,941 : x
  2. Step 2: Convert to fraction form
    13,216.75/17,941 = 17,941/x
  3. Step 3: Cross multiply
    13,216.75x = 17,941 × 17,941
  4. Step 4: Simplify right side
    13,216.75x = 321,879,481
  5. Step 5: Solve for x
    x = 321,879,481/13,216.75
  6. Step 6: Final answer
    x = 24,353.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.