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Finding the Third Proportional to 18,455.50 and 43,327

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Solution

The third proportional to 18,455.50 and 43,327 is: 101,716.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,455.50 : 43,327 = 43,327 : x
  2. Step 2: Convert to fraction form
    18,455.50/43,327 = 43,327/x
  3. Step 3: Cross multiply
    18,455.50x = 43,327 × 43,327
  4. Step 4: Simplify right side
    18,455.50x = 1,877,228,929
  5. Step 5: Solve for x
    x = 1,877,228,929/18,455.50
  6. Step 6: Final answer
    x = 101,716.50

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.