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Finding the Third Proportional to 19,443 and 40,137

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Solution

The third proportional to 19,443 and 40,137 is: 82,856.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,443 : 40,137 = 40,137 : x
  2. Step 2: Convert to fraction form
    19,443/40,137 = 40,137/x
  3. Step 3: Cross multiply
    19,443x = 40,137 × 40,137
  4. Step 4: Simplify right side
    19,443x = 1,610,978,769
  5. Step 5: Solve for x
    x = 1,610,978,769/19,443
  6. Step 6: Final answer
    x = 82,856.49

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.