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Finding the Third Proportional to 6,288 and 11,296

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Solution

The third proportional to 6,288 and 11,296 is: 20,292.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288 : 11,296 = 11,296 : x
  2. Step 2: Convert to fraction form
    6,288/11,296 = 11,296/x
  3. Step 3: Cross multiply
    6,288x = 11,296 × 11,296
  4. Step 4: Simplify right side
    6,288x = 127,599,616
  5. Step 5: Solve for x
    x = 127,599,616/6,288
  6. Step 6: Final answer
    x = 20,292.56

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.