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Finding the Third Proportional to 18,908 and 41,680

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Solution

The third proportional to 18,908 and 41,680 is: 91,877.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,908 : 41,680 = 41,680 : x
  2. Step 2: Convert to fraction form
    18,908/41,680 = 41,680/x
  3. Step 3: Cross multiply
    18,908x = 41,680 × 41,680
  4. Step 4: Simplify right side
    18,908x = 1,737,222,400
  5. Step 5: Solve for x
    x = 1,737,222,400/18,908
  6. Step 6: Final answer
    x = 91,877.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.