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Finding the Third Proportional to 19,600 and 43,568

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Solution

The third proportional to 19,600 and 43,568 is: 96,845.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,600 : 43,568 = 43,568 : x
  2. Step 2: Convert to fraction form
    19,600/43,568 = 43,568/x
  3. Step 3: Cross multiply
    19,600x = 43,568 × 43,568
  4. Step 4: Simplify right side
    19,600x = 1,898,170,624
  5. Step 5: Solve for x
    x = 1,898,170,624/19,600
  6. Step 6: Final answer
    x = 96,845.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.