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Finding the Third Proportional to 18,839 and 40,645

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Solution

The third proportional to 18,839 and 40,645 is: 87,691.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,839 : 40,645 = 40,645 : x
  2. Step 2: Convert to fraction form
    18,839/40,645 = 40,645/x
  3. Step 3: Cross multiply
    18,839x = 40,645 × 40,645
  4. Step 4: Simplify right side
    18,839x = 1,652,016,025
  5. Step 5: Solve for x
    x = 1,652,016,025/18,839
  6. Step 6: Final answer
    x = 87,691.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.