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Finding the Third Proportional to 4,229 and 8,350

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Solution

The third proportional to 4,229 and 8,350 is: 16,486.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229 : 8,350 = 8,350 : x
  2. Step 2: Convert to fraction form
    4,229/8,350 = 8,350/x
  3. Step 3: Cross multiply
    4,229x = 8,350 × 8,350
  4. Step 4: Simplify right side
    4,229x = 69,722,500
  5. Step 5: Solve for x
    x = 69,722,500/4,229
  6. Step 6: Final answer
    x = 16,486.76

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.