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Finding the Third Proportional to 38,189 and 83,909

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Solution

The third proportional to 38,189 and 83,909 is: 184,365.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,189 : 83,909 = 83,909 : x
  2. Step 2: Convert to fraction form
    38,189/83,909 = 83,909/x
  3. Step 3: Cross multiply
    38,189x = 83,909 × 83,909
  4. Step 4: Simplify right side
    38,189x = 7,040,720,281
  5. Step 5: Solve for x
    x = 7,040,720,281/38,189
  6. Step 6: Final answer
    x = 184,365.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.