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Finding the Third Proportional to 19,828 and 41,860

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Solution

The third proportional to 19,828 and 41,860 is: 88,372.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,828 : 41,860 = 41,860 : x
  2. Step 2: Convert to fraction form
    19,828/41,860 = 41,860/x
  3. Step 3: Cross multiply
    19,828x = 41,860 × 41,860
  4. Step 4: Simplify right side
    19,828x = 1,752,259,600
  5. Step 5: Solve for x
    x = 1,752,259,600/19,828
  6. Step 6: Final answer
    x = 88,372.99

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.