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Finding the Third Proportional to 26,091 and 57,255

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Solution

The third proportional to 26,091 and 57,255 is: 125,642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,091 : 57,255 = 57,255 : x
  2. Step 2: Convert to fraction form
    26,091/57,255 = 57,255/x
  3. Step 3: Cross multiply
    26,091x = 57,255 × 57,255
  4. Step 4: Simplify right side
    26,091x = 3,278,135,025
  5. Step 5: Solve for x
    x = 3,278,135,025/26,091
  6. Step 6: Final answer
    x = 125,642.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.