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Finding the Third Proportional to 26,589 and 56,634

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Solution

The third proportional to 26,589 and 56,634 is: 120,629.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,589 : 56,634 = 56,634 : x
  2. Step 2: Convert to fraction form
    26,589/56,634 = 56,634/x
  3. Step 3: Cross multiply
    26,589x = 56,634 × 56,634
  4. Step 4: Simplify right side
    26,589x = 3,207,409,956
  5. Step 5: Solve for x
    x = 3,207,409,956/26,589
  6. Step 6: Final answer
    x = 120,629.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.