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Finding the Third Proportional to 26,774 and 57,916

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Solution

The third proportional to 26,774 and 57,916 is: 125,280.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,774 : 57,916 = 57,916 : x
  2. Step 2: Convert to fraction form
    26,774/57,916 = 57,916/x
  3. Step 3: Cross multiply
    26,774x = 57,916 × 57,916
  4. Step 4: Simplify right side
    26,774x = 3,354,263,056
  5. Step 5: Solve for x
    x = 3,354,263,056/26,774
  6. Step 6: Final answer
    x = 125,280.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.