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Finding the Third Proportional to 24,879 and 37,714

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Solution

The third proportional to 24,879 and 37,714 is: 57,170.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,879 : 37,714 = 37,714 : x
  2. Step 2: Convert to fraction form
    24,879/37,714 = 37,714/x
  3. Step 3: Cross multiply
    24,879x = 37,714 × 37,714
  4. Step 4: Simplify right side
    24,879x = 1,422,345,796
  5. Step 5: Solve for x
    x = 1,422,345,796/24,879
  6. Step 6: Final answer
    x = 57,170.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.