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Finding the Third Proportional to 17,680 and 25,144

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Solution

The third proportional to 17,680 and 25,144 is: 35,759.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,680 : 25,144 = 25,144 : x
  2. Step 2: Convert to fraction form
    17,680/25,144 = 25,144/x
  3. Step 3: Cross multiply
    17,680x = 25,144 × 25,144
  4. Step 4: Simplify right side
    17,680x = 632,220,736
  5. Step 5: Solve for x
    x = 632,220,736/17,680
  6. Step 6: Final answer
    x = 35,759.09

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.