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Finding the Third Proportional to 2,832 and 4,308

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Solution

The third proportional to 2,832 and 4,308 is: 6,553.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832 : 4,308 = 4,308 : x
  2. Step 2: Convert to fraction form
    2,832/4,308 = 4,308/x
  3. Step 3: Cross multiply
    2,832x = 4,308 × 4,308
  4. Step 4: Simplify right side
    2,832x = 18,558,864
  5. Step 5: Solve for x
    x = 18,558,864/2,832
  6. Step 6: Final answer
    x = 6,553.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.