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Finding the Third Proportional to 38,099 and 83,965

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Solution

The third proportional to 38,099 and 83,965 is: 185,047.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,099 : 83,965 = 83,965 : x
  2. Step 2: Convert to fraction form
    38,099/83,965 = 83,965/x
  3. Step 3: Cross multiply
    38,099x = 83,965 × 83,965
  4. Step 4: Simplify right side
    38,099x = 7,050,121,225
  5. Step 5: Solve for x
    x = 7,050,121,225/38,099
  6. Step 6: Final answer
    x = 185,047.41

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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.