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Finding the Third Proportional to 17,261 and 26,027

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Solution

The third proportional to 17,261 and 26,027 is: 39,244.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,261 : 26,027 = 26,027 : x
  2. Step 2: Convert to fraction form
    17,261/26,027 = 26,027/x
  3. Step 3: Cross multiply
    17,261x = 26,027 × 26,027
  4. Step 4: Simplify right side
    17,261x = 677,404,729
  5. Step 5: Solve for x
    x = 677,404,729/17,261
  6. Step 6: Final answer
    x = 39,244.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.