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Finding the Third Proportional to 8,120 and 11,284

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Solution

The third proportional to 8,120 and 11,284 is: 15,680.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,120 : 11,284 = 11,284 : x
  2. Step 2: Convert to fraction form
    8,120/11,284 = 11,284/x
  3. Step 3: Cross multiply
    8,120x = 11,284 × 11,284
  4. Step 4: Simplify right side
    8,120x = 127,328,656
  5. Step 5: Solve for x
    x = 127,328,656/8,120
  6. Step 6: Final answer
    x = 15,680.87

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.