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Finding the Third Proportional to 20,104 and 38,051

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Solution

The third proportional to 20,104 and 38,051 is: 72,019.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,104 : 38,051 = 38,051 : x
  2. Step 2: Convert to fraction form
    20,104/38,051 = 38,051/x
  3. Step 3: Cross multiply
    20,104x = 38,051 × 38,051
  4. Step 4: Simplify right side
    20,104x = 1,447,878,601
  5. Step 5: Solve for x
    x = 1,447,878,601/20,104
  6. Step 6: Final answer
    x = 72,019.43

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.