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Finding the Third Proportional to 12,795 and 20,517

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Solution

The third proportional to 12,795 and 20,517 is: 32,899.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,795 : 20,517 = 20,517 : x
  2. Step 2: Convert to fraction form
    12,795/20,517 = 20,517/x
  3. Step 3: Cross multiply
    12,795x = 20,517 × 20,517
  4. Step 4: Simplify right side
    12,795x = 420,947,289
  5. Step 5: Solve for x
    x = 420,947,289/12,795
  6. Step 6: Final answer
    x = 32,899.36

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.