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Finding the Third Proportional to 5,692 and 8,282

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Solution

The third proportional to 5,692 and 8,282 is: 12,050.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692 : 8,282 = 8,282 : x
  2. Step 2: Convert to fraction form
    5,692/8,282 = 8,282/x
  3. Step 3: Cross multiply
    5,692x = 8,282 × 8,282
  4. Step 4: Simplify right side
    5,692x = 68,591,524
  5. Step 5: Solve for x
    x = 68,591,524/5,692
  6. Step 6: Final answer
    x = 12,050.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.