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Finding the Third Proportional to 4,128 and 6,192

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Solution

The third proportional to 4,128 and 6,192 is: 9,288

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,128 : 6,192 = 6,192 : x
  2. Step 2: Convert to fraction form
    4,128/6,192 = 6,192/x
  3. Step 3: Cross multiply
    4,128x = 6,192 × 6,192
  4. Step 4: Simplify right side
    4,128x = 38,340,864
  5. Step 5: Solve for x
    x = 38,340,864/4,128
  6. Step 6: Final answer
    x = 9,288

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.