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Finding the Third Proportional to 26,450 and 55,494

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Solution

The third proportional to 26,450 and 55,494 is: 116,430.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,450 : 55,494 = 55,494 : x
  2. Step 2: Convert to fraction form
    26,450/55,494 = 55,494/x
  3. Step 3: Cross multiply
    26,450x = 55,494 × 55,494
  4. Step 4: Simplify right side
    26,450x = 3,079,584,036
  5. Step 5: Solve for x
    x = 3,079,584,036/26,450
  6. Step 6: Final answer
    x = 116,430.40

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.