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Finding the Third Proportional to 26,649 and 54,213

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Solution

The third proportional to 26,649 and 54,213 is: 110,287.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,649 : 54,213 = 54,213 : x
  2. Step 2: Convert to fraction form
    26,649/54,213 = 54,213/x
  3. Step 3: Cross multiply
    26,649x = 54,213 × 54,213
  4. Step 4: Simplify right side
    26,649x = 2,939,049,369
  5. Step 5: Solve for x
    x = 2,939,049,369/26,649
  6. Step 6: Final answer
    x = 110,287.42

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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.