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Finding the Third Proportional to 4,343 and 8,469

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Solution

The third proportional to 4,343 and 8,469 is: 16,514.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,343 : 8,469 = 8,469 : x
  2. Step 2: Convert to fraction form
    4,343/8,469 = 8,469/x
  3. Step 3: Cross multiply
    4,343x = 8,469 × 8,469
  4. Step 4: Simplify right side
    4,343x = 71,723,961
  5. Step 5: Solve for x
    x = 71,723,961/4,343
  6. Step 6: Final answer
    x = 16,514.84

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.