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Finding the Third Proportional to 11,563 and 24,947

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Solution

The third proportional to 11,563 and 24,947 is: 53,822.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563 : 24,947 = 24,947 : x
  2. Step 2: Convert to fraction form
    11,563/24,947 = 24,947/x
  3. Step 3: Cross multiply
    11,563x = 24,947 × 24,947
  4. Step 4: Simplify right side
    11,563x = 622,352,809
  5. Step 5: Solve for x
    x = 622,352,809/11,563
  6. Step 6: Final answer
    x = 53,822.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.