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Finding the Third Proportional to 16,467.75 and 21,894.75

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Solution

The third proportional to 16,467.75 and 21,894.75 is: 29,110.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,467.75 : 21,894.75 = 21,894.75 : x
  2. Step 2: Convert to fraction form
    16,467.75/21,894.75 = 21,894.75/x
  3. Step 3: Cross multiply
    16,467.75x = 21,894.75 × 21,894.75
  4. Step 4: Simplify right side
    16,467.75x = 479,380,077.56
  5. Step 5: Solve for x
    x = 479,380,077.56/16,467.75
  6. Step 6: Final answer
    x = 29,110.24

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.