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Finding the Third Proportional to 11,406 and 24,568

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Solution

The third proportional to 11,406 and 24,568 is: 52,918.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,406 : 24,568 = 24,568 : x
  2. Step 2: Convert to fraction form
    11,406/24,568 = 24,568/x
  3. Step 3: Cross multiply
    11,406x = 24,568 × 24,568
  4. Step 4: Simplify right side
    11,406x = 603,586,624
  5. Step 5: Solve for x
    x = 603,586,624/11,406
  6. Step 6: Final answer
    x = 52,918.34

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Why These Related Problems?

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