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Finding the Third Proportional to 16,872 and 25,512

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Solution

The third proportional to 16,872 and 25,512 is: 38,576.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,872 : 25,512 = 25,512 : x
  2. Step 2: Convert to fraction form
    16,872/25,512 = 25,512/x
  3. Step 3: Cross multiply
    16,872x = 25,512 × 25,512
  4. Step 4: Simplify right side
    16,872x = 650,862,144
  5. Step 5: Solve for x
    x = 650,862,144/16,872
  6. Step 6: Final answer
    x = 38,576.47

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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.