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Finding the Third Proportional to 18,378 and 26,857

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Solution

The third proportional to 18,378 and 26,857 is: 39,247.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,378 : 26,857 = 26,857 : x
  2. Step 2: Convert to fraction form
    18,378/26,857 = 26,857/x
  3. Step 3: Cross multiply
    18,378x = 26,857 × 26,857
  4. Step 4: Simplify right side
    18,378x = 721,298,449
  5. Step 5: Solve for x
    x = 721,298,449/18,378
  6. Step 6: Final answer
    x = 39,247.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.