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Finding the Third Proportional to 18,268 and 27,356

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Solution

The third proportional to 18,268 and 27,356 is: 40,965.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,268 : 27,356 = 27,356 : x
  2. Step 2: Convert to fraction form
    18,268/27,356 = 27,356/x
  3. Step 3: Cross multiply
    18,268x = 27,356 × 27,356
  4. Step 4: Simplify right side
    18,268x = 748,350,736
  5. Step 5: Solve for x
    x = 748,350,736/18,268
  6. Step 6: Final answer
    x = 40,965.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.