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Finding the Third Proportional to 16,500 and 21,879.75

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Solution

The third proportional to 16,500 and 21,879.75 is: 29,013.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,500 : 21,879.75 = 21,879.75 : x
  2. Step 2: Convert to fraction form
    16,500/21,879.75 = 21,879.75/x
  3. Step 3: Cross multiply
    16,500x = 21,879.75 × 21,879.75
  4. Step 4: Simplify right side
    16,500x = 478,723,460.06
  5. Step 5: Solve for x
    x = 478,723,460.06/16,500
  6. Step 6: Final answer
    x = 29,013.54

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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.