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Finding the Third Proportional to 13,816 and 30,328

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Solution

The third proportional to 13,816 and 30,328 is: 66,574.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816 : 30,328 = 30,328 : x
  2. Step 2: Convert to fraction form
    13,816/30,328 = 30,328/x
  3. Step 3: Cross multiply
    13,816x = 30,328 × 30,328
  4. Step 4: Simplify right side
    13,816x = 919,787,584
  5. Step 5: Solve for x
    x = 919,787,584/13,816
  6. Step 6: Final answer
    x = 66,574.09

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.