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Finding the Third Proportional to 38,024 and 82,832

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Solution

The third proportional to 38,024 and 82,832 is: 180,442.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,024 : 82,832 = 82,832 : x
  2. Step 2: Convert to fraction form
    38,024/82,832 = 82,832/x
  3. Step 3: Cross multiply
    38,024x = 82,832 × 82,832
  4. Step 4: Simplify right side
    38,024x = 6,861,140,224
  5. Step 5: Solve for x
    x = 6,861,140,224/38,024
  6. Step 6: Final answer
    x = 180,442.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.