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Finding the Third Proportional to 18,024 and 26,904

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Solution

The third proportional to 18,024 and 26,904 is: 40,158.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,024 : 26,904 = 26,904 : x
  2. Step 2: Convert to fraction form
    18,024/26,904 = 26,904/x
  3. Step 3: Cross multiply
    18,024x = 26,904 × 26,904
  4. Step 4: Simplify right side
    18,024x = 723,825,216
  5. Step 5: Solve for x
    x = 723,825,216/18,024
  6. Step 6: Final answer
    x = 40,158.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.