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Finding the Third Proportional to 13,899 and 24,714

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Solution

The third proportional to 13,899 and 24,714 is: 43,944.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,899 : 24,714 = 24,714 : x
  2. Step 2: Convert to fraction form
    13,899/24,714 = 24,714/x
  3. Step 3: Cross multiply
    13,899x = 24,714 × 24,714
  4. Step 4: Simplify right side
    13,899x = 610,781,796
  5. Step 5: Solve for x
    x = 610,781,796/13,899
  6. Step 6: Final answer
    x = 43,944.30

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.