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Finding the Third Proportional to 14,234.50 and 20,816

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Solution

The third proportional to 14,234.50 and 20,816 is: 30,440.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234.50 : 20,816 = 20,816 : x
  2. Step 2: Convert to fraction form
    14,234.50/20,816 = 20,816/x
  3. Step 3: Cross multiply
    14,234.50x = 20,816 × 20,816
  4. Step 4: Simplify right side
    14,234.50x = 433,305,856
  5. Step 5: Solve for x
    x = 433,305,856/14,234.50
  6. Step 6: Final answer
    x = 30,440.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.