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Finding the Third Proportional to 26,647 and 54,082

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Solution

The third proportional to 26,647 and 54,082 is: 109,763.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,647 : 54,082 = 54,082 : x
  2. Step 2: Convert to fraction form
    26,647/54,082 = 54,082/x
  3. Step 3: Cross multiply
    26,647x = 54,082 × 54,082
  4. Step 4: Simplify right side
    26,647x = 2,924,862,724
  5. Step 5: Solve for x
    x = 2,924,862,724/26,647
  6. Step 6: Final answer
    x = 109,763.30

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.