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Finding the Third Proportional to 43,789.50 and 96,327

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Solution

The third proportional to 43,789.50 and 96,327 is: 211,897.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,789.50 : 96,327 = 96,327 : x
  2. Step 2: Convert to fraction form
    43,789.50/96,327 = 96,327/x
  3. Step 3: Cross multiply
    43,789.50x = 96,327 × 96,327
  4. Step 4: Simplify right side
    43,789.50x = 9,278,890,929
  5. Step 5: Solve for x
    x = 9,278,890,929/43,789.50
  6. Step 6: Final answer
    x = 211,897.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.