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Finding the Third Proportional to 6,228 and 12,136

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Solution

The third proportional to 6,228 and 12,136 is: 23,648.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228 : 12,136 = 12,136 : x
  2. Step 2: Convert to fraction form
    6,228/12,136 = 12,136/x
  3. Step 3: Cross multiply
    6,228x = 12,136 × 12,136
  4. Step 4: Simplify right side
    6,228x = 147,282,496
  5. Step 5: Solve for x
    x = 147,282,496/6,228
  6. Step 6: Final answer
    x = 23,648.44

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.