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Finding the Third Proportional to 18,494 and 27,254

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Solution

The third proportional to 18,494 and 27,254 is: 40,163.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,494 : 27,254 = 27,254 : x
  2. Step 2: Convert to fraction form
    18,494/27,254 = 27,254/x
  3. Step 3: Cross multiply
    18,494x = 27,254 × 27,254
  4. Step 4: Simplify right side
    18,494x = 742,780,516
  5. Step 5: Solve for x
    x = 742,780,516/18,494
  6. Step 6: Final answer
    x = 40,163.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.