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Finding the Third Proportional to 6,072 and 11,517

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Solution

The third proportional to 6,072 and 11,517 is: 21,844.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072 : 11,517 = 11,517 : x
  2. Step 2: Convert to fraction form
    6,072/11,517 = 11,517/x
  3. Step 3: Cross multiply
    6,072x = 11,517 × 11,517
  4. Step 4: Simplify right side
    6,072x = 132,641,289
  5. Step 5: Solve for x
    x = 132,641,289/6,072
  6. Step 6: Final answer
    x = 21,844.74

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.