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Finding the Third Proportional to 19,906 and 41,860

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Solution

The third proportional to 19,906 and 41,860 is: 88,026.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,906 : 41,860 = 41,860 : x
  2. Step 2: Convert to fraction form
    19,906/41,860 = 41,860/x
  3. Step 3: Cross multiply
    19,906x = 41,860 × 41,860
  4. Step 4: Simplify right side
    19,906x = 1,752,259,600
  5. Step 5: Solve for x
    x = 1,752,259,600/19,906
  6. Step 6: Final answer
    x = 88,026.71

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.