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Finding the Third Proportional to 18,794 and 28,133

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Solution

The third proportional to 18,794 and 28,133 is: 42,112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,794 : 28,133 = 28,133 : x
  2. Step 2: Convert to fraction form
    18,794/28,133 = 28,133/x
  3. Step 3: Cross multiply
    18,794x = 28,133 × 28,133
  4. Step 4: Simplify right side
    18,794x = 791,465,689
  5. Step 5: Solve for x
    x = 791,465,689/18,794
  6. Step 6: Final answer
    x = 42,112.68

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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.