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Finding the Third Proportional to 23,782 and 50,282

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Solution

The third proportional to 23,782 and 50,282 is: 106,310.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,782 : 50,282 = 50,282 : x
  2. Step 2: Convert to fraction form
    23,782/50,282 = 50,282/x
  3. Step 3: Cross multiply
    23,782x = 50,282 × 50,282
  4. Step 4: Simplify right side
    23,782x = 2,528,279,524
  5. Step 5: Solve for x
    x = 2,528,279,524/23,782
  6. Step 6: Final answer
    x = 106,310.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.