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Finding the Third Proportional to 38,082 and 84,996

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Solution

The third proportional to 38,082 and 84,996 is: 189,704.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,082 : 84,996 = 84,996 : x
  2. Step 2: Convert to fraction form
    38,082/84,996 = 84,996/x
  3. Step 3: Cross multiply
    38,082x = 84,996 × 84,996
  4. Step 4: Simplify right side
    38,082x = 7,224,320,016
  5. Step 5: Solve for x
    x = 7,224,320,016/38,082
  6. Step 6: Final answer
    x = 189,704.32

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.