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Finding the Third Proportional to 9,568 and 22,672

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Solution

The third proportional to 9,568 and 22,672 is: 53,722.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568 : 22,672 = 22,672 : x
  2. Step 2: Convert to fraction form
    9,568/22,672 = 22,672/x
  3. Step 3: Cross multiply
    9,568x = 22,672 × 22,672
  4. Step 4: Simplify right side
    9,568x = 514,019,584
  5. Step 5: Solve for x
    x = 514,019,584/9,568
  6. Step 6: Final answer
    x = 53,722.78

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.