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Finding the Third Proportional to 8,228 and 12,054

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Solution

The third proportional to 8,228 and 12,054 is: 17,659.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228 : 12,054 = 12,054 : x
  2. Step 2: Convert to fraction form
    8,228/12,054 = 12,054/x
  3. Step 3: Cross multiply
    8,228x = 12,054 × 12,054
  4. Step 4: Simplify right side
    8,228x = 145,298,916
  5. Step 5: Solve for x
    x = 145,298,916/8,228
  6. Step 6: Final answer
    x = 17,659.08

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.