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Finding the Third Proportional to 19,868 and 40,996

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Solution

The third proportional to 19,868 and 40,996 is: 84,591.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,868 : 40,996 = 40,996 : x
  2. Step 2: Convert to fraction form
    19,868/40,996 = 40,996/x
  3. Step 3: Cross multiply
    19,868x = 40,996 × 40,996
  4. Step 4: Simplify right side
    19,868x = 1,680,672,016
  5. Step 5: Solve for x
    x = 1,680,672,016/19,868
  6. Step 6: Final answer
    x = 84,591.91

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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.