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Finding the Third Proportional to 8,284 and 18,350

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Solution

The third proportional to 8,284 and 18,350 is: 40,647.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284 : 18,350 = 18,350 : x
  2. Step 2: Convert to fraction form
    8,284/18,350 = 18,350/x
  3. Step 3: Cross multiply
    8,284x = 18,350 × 18,350
  4. Step 4: Simplify right side
    8,284x = 336,722,500
  5. Step 5: Solve for x
    x = 336,722,500/8,284
  6. Step 6: Final answer
    x = 40,647.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.