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Finding the Third Proportional to 38,840 and 84,256

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Solution

The third proportional to 38,840 and 84,256 is: 182,777.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,840 : 84,256 = 84,256 : x
  2. Step 2: Convert to fraction form
    38,840/84,256 = 84,256/x
  3. Step 3: Cross multiply
    38,840x = 84,256 × 84,256
  4. Step 4: Simplify right side
    38,840x = 7,099,073,536
  5. Step 5: Solve for x
    x = 7,099,073,536/38,840
  6. Step 6: Final answer
    x = 182,777.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.