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Finding the Third Proportional to 13,714 and 20,672

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Solution

The third proportional to 13,714 and 20,672 is: 31,160.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714 : 20,672 = 20,672 : x
  2. Step 2: Convert to fraction form
    13,714/20,672 = 20,672/x
  3. Step 3: Cross multiply
    13,714x = 20,672 × 20,672
  4. Step 4: Simplify right side
    13,714x = 427,331,584
  5. Step 5: Solve for x
    x = 427,331,584/13,714
  6. Step 6: Final answer
    x = 31,160.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.