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Finding the Third Proportional to 8,284 and 11,378

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Solution

The third proportional to 8,284 and 11,378 is: 15,627.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284 : 11,378 = 11,378 : x
  2. Step 2: Convert to fraction form
    8,284/11,378 = 11,378/x
  3. Step 3: Cross multiply
    8,284x = 11,378 × 11,378
  4. Step 4: Simplify right side
    8,284x = 129,458,884
  5. Step 5: Solve for x
    x = 129,458,884/8,284
  6. Step 6: Final answer
    x = 15,627.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.