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Finding the Third Proportional to 7,888 and 17,327

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Solution

The third proportional to 7,888 and 17,327 is: 38,060.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888 : 17,327 = 17,327 : x
  2. Step 2: Convert to fraction form
    7,888/17,327 = 17,327/x
  3. Step 3: Cross multiply
    7,888x = 17,327 × 17,327
  4. Step 4: Simplify right side
    7,888x = 300,224,929
  5. Step 5: Solve for x
    x = 300,224,929/7,888
  6. Step 6: Final answer
    x = 38,060.97

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