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Finding the Third Proportional to 4,296 and 8,406

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Solution

The third proportional to 4,296 and 8,406 is: 16,448.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296 : 8,406 = 8,406 : x
  2. Step 2: Convert to fraction form
    4,296/8,406 = 8,406/x
  3. Step 3: Cross multiply
    4,296x = 8,406 × 8,406
  4. Step 4: Simplify right side
    4,296x = 70,660,836
  5. Step 5: Solve for x
    x = 70,660,836/4,296
  6. Step 6: Final answer
    x = 16,448.05

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.