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Finding the Third Proportional to 3,096 and 6,336

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Solution

The third proportional to 3,096 and 6,336 is: 12,966.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096 : 6,336 = 6,336 : x
  2. Step 2: Convert to fraction form
    3,096/6,336 = 6,336/x
  3. Step 3: Cross multiply
    3,096x = 6,336 × 6,336
  4. Step 4: Simplify right side
    3,096x = 40,144,896
  5. Step 5: Solve for x
    x = 40,144,896/3,096
  6. Step 6: Final answer
    x = 12,966.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.