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Finding the Third Proportional to 12,917 and 28,007

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Solution

The third proportional to 12,917 and 28,007 is: 60,725.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,917 : 28,007 = 28,007 : x
  2. Step 2: Convert to fraction form
    12,917/28,007 = 28,007/x
  3. Step 3: Cross multiply
    12,917x = 28,007 × 28,007
  4. Step 4: Simplify right side
    12,917x = 784,392,049
  5. Step 5: Solve for x
    x = 784,392,049/12,917
  6. Step 6: Final answer
    x = 60,725.56

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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.