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Finding the Third Proportional to 20,568 and 22,728

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Solution

The third proportional to 20,568 and 22,728 is: 25,114.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,568 : 22,728 = 22,728 : x
  2. Step 2: Convert to fraction form
    20,568/22,728 = 22,728/x
  3. Step 3: Cross multiply
    20,568x = 22,728 × 22,728
  4. Step 4: Simplify right side
    20,568x = 516,561,984
  5. Step 5: Solve for x
    x = 516,561,984/20,568
  6. Step 6: Final answer
    x = 25,114.84

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.