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Finding the Third Proportional to 18,789 and 40,244

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Solution

The third proportional to 18,789 and 40,244 is: 86,198.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,789 : 40,244 = 40,244 : x
  2. Step 2: Convert to fraction form
    18,789/40,244 = 40,244/x
  3. Step 3: Cross multiply
    18,789x = 40,244 × 40,244
  4. Step 4: Simplify right side
    18,789x = 1,619,579,536
  5. Step 5: Solve for x
    x = 1,619,579,536/18,789
  6. Step 6: Final answer
    x = 86,198.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.