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Finding the Third Proportional to 7,844 and 16,327

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Solution

The third proportional to 7,844 and 16,327 is: 33,984.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844 : 16,327 = 16,327 : x
  2. Step 2: Convert to fraction form
    7,844/16,327 = 16,327/x
  3. Step 3: Cross multiply
    7,844x = 16,327 × 16,327
  4. Step 4: Simplify right side
    7,844x = 266,570,929
  5. Step 5: Solve for x
    x = 266,570,929/7,844
  6. Step 6: Final answer
    x = 33,984.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.