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Finding the Third Proportional to 17,138 and 25,995

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Solution

The third proportional to 17,138 and 25,995 is: 39,429.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,138 : 25,995 = 25,995 : x
  2. Step 2: Convert to fraction form
    17,138/25,995 = 25,995/x
  3. Step 3: Cross multiply
    17,138x = 25,995 × 25,995
  4. Step 4: Simplify right side
    17,138x = 675,740,025
  5. Step 5: Solve for x
    x = 675,740,025/17,138
  6. Step 6: Final answer
    x = 39,429.34

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.