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Finding the Third Proportional to 19,446.75 and 41,850

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Solution

The third proportional to 19,446.75 and 41,850 is: 90,062.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,446.75 : 41,850 = 41,850 : x
  2. Step 2: Convert to fraction form
    19,446.75/41,850 = 41,850/x
  3. Step 3: Cross multiply
    19,446.75x = 41,850 × 41,850
  4. Step 4: Simplify right side
    19,446.75x = 1,751,422,500
  5. Step 5: Solve for x
    x = 1,751,422,500/19,446.75
  6. Step 6: Final answer
    x = 90,062.48

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.