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Finding the Third Proportional to 12,096 and 22,192

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Solution

The third proportional to 12,096 and 22,192 is: 40,714.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096 : 22,192 = 22,192 : x
  2. Step 2: Convert to fraction form
    12,096/22,192 = 22,192/x
  3. Step 3: Cross multiply
    12,096x = 22,192 × 22,192
  4. Step 4: Simplify right side
    12,096x = 492,484,864
  5. Step 5: Solve for x
    x = 492,484,864/12,096
  6. Step 6: Final answer
    x = 40,714.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.