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Finding the Third Proportional to 26,650 and 54,218

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Solution

The third proportional to 26,650 and 54,218 is: 110,303.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,650 : 54,218 = 54,218 : x
  2. Step 2: Convert to fraction form
    26,650/54,218 = 54,218/x
  3. Step 3: Cross multiply
    26,650x = 54,218 × 54,218
  4. Step 4: Simplify right side
    26,650x = 2,939,591,524
  5. Step 5: Solve for x
    x = 2,939,591,524/26,650
  6. Step 6: Final answer
    x = 110,303.62

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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.