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Finding the Third Proportional to 17,504 and 27,980

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Solution

The third proportional to 17,504 and 27,980 is: 44,725.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,504 : 27,980 = 27,980 : x
  2. Step 2: Convert to fraction form
    17,504/27,980 = 27,980/x
  3. Step 3: Cross multiply
    17,504x = 27,980 × 27,980
  4. Step 4: Simplify right side
    17,504x = 782,880,400
  5. Step 5: Solve for x
    x = 782,880,400/17,504
  6. Step 6: Final answer
    x = 44,725.80

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.