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Finding the Third Proportional to 7,997 and 17,395

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Solution

The third proportional to 7,997 and 17,395 is: 37,837.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997 : 17,395 = 17,395 : x
  2. Step 2: Convert to fraction form
    7,997/17,395 = 17,395/x
  3. Step 3: Cross multiply
    7,997x = 17,395 × 17,395
  4. Step 4: Simplify right side
    7,997x = 302,586,025
  5. Step 5: Solve for x
    x = 302,586,025/7,997
  6. Step 6: Final answer
    x = 37,837.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.