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Finding the Third Proportional to 2,823 and 6,292

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Solution

The third proportional to 2,823 and 6,292 is: 14,023.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823 : 6,292 = 6,292 : x
  2. Step 2: Convert to fraction form
    2,823/6,292 = 6,292/x
  3. Step 3: Cross multiply
    2,823x = 6,292 × 6,292
  4. Step 4: Simplify right side
    2,823x = 39,589,264
  5. Step 5: Solve for x
    x = 39,589,264/2,823
  6. Step 6: Final answer
    x = 14,023.83

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.