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Finding the Third Proportional to 18,372 and 25,828

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Solution

The third proportional to 18,372 and 25,828 is: 36,309.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,372 : 25,828 = 25,828 : x
  2. Step 2: Convert to fraction form
    18,372/25,828 = 25,828/x
  3. Step 3: Cross multiply
    18,372x = 25,828 × 25,828
  4. Step 4: Simplify right side
    18,372x = 667,085,584
  5. Step 5: Solve for x
    x = 667,085,584/18,372
  6. Step 6: Final answer
    x = 36,309.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.