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Finding the Third Proportional to 24,857 and 53,947

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Solution

The third proportional to 24,857 and 53,947 is: 117,080.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,857 : 53,947 = 53,947 : x
  2. Step 2: Convert to fraction form
    24,857/53,947 = 53,947/x
  3. Step 3: Cross multiply
    24,857x = 53,947 × 53,947
  4. Step 4: Simplify right side
    24,857x = 2,910,278,809
  5. Step 5: Solve for x
    x = 2,910,278,809/24,857
  6. Step 6: Final answer
    x = 117,080.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.