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Finding the Third Proportional to 17,314 and 25,991

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Solution

The third proportional to 17,314 and 25,991 is: 39,016.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,314 : 25,991 = 25,991 : x
  2. Step 2: Convert to fraction form
    17,314/25,991 = 25,991/x
  3. Step 3: Cross multiply
    17,314x = 25,991 × 25,991
  4. Step 4: Simplify right side
    17,314x = 675,532,081
  5. Step 5: Solve for x
    x = 675,532,081/17,314
  6. Step 6: Final answer
    x = 39,016.52

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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.