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Finding the Third Proportional to 38,048 and 83,872

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Solution

The third proportional to 38,048 and 83,872 is: 184,885.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,048 : 83,872 = 83,872 : x
  2. Step 2: Convert to fraction form
    38,048/83,872 = 83,872/x
  3. Step 3: Cross multiply
    38,048x = 83,872 × 83,872
  4. Step 4: Simplify right side
    38,048x = 7,034,512,384
  5. Step 5: Solve for x
    x = 7,034,512,384/38,048
  6. Step 6: Final answer
    x = 184,885.21

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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.