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Finding the Third Proportional to 6,228 and 13,494

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Solution

The third proportional to 6,228 and 13,494 is: 29,237

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228 : 13,494 = 13,494 : x
  2. Step 2: Convert to fraction form
    6,228/13,494 = 13,494/x
  3. Step 3: Cross multiply
    6,228x = 13,494 × 13,494
  4. Step 4: Simplify right side
    6,228x = 182,088,036
  5. Step 5: Solve for x
    x = 182,088,036/6,228
  6. Step 6: Final answer
    x = 29,237

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.