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Finding the Third Proportional to 19,646 and 41,568

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Solution

The third proportional to 19,646 and 41,568 is: 87,951.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,646 : 41,568 = 41,568 : x
  2. Step 2: Convert to fraction form
    19,646/41,568 = 41,568/x
  3. Step 3: Cross multiply
    19,646x = 41,568 × 41,568
  4. Step 4: Simplify right side
    19,646x = 1,727,898,624
  5. Step 5: Solve for x
    x = 1,727,898,624/19,646
  6. Step 6: Final answer
    x = 87,951.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.