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Finding the Third Proportional to 17,318 and 25,997

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Solution

The third proportional to 17,318 and 25,997 is: 39,025.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,318 : 25,997 = 25,997 : x
  2. Step 2: Convert to fraction form
    17,318/25,997 = 25,997/x
  3. Step 3: Cross multiply
    17,318x = 25,997 × 25,997
  4. Step 4: Simplify right side
    17,318x = 675,844,009
  5. Step 5: Solve for x
    x = 675,844,009/17,318
  6. Step 6: Final answer
    x = 39,025.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.