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Finding the Third Proportional to 17,226.75 and 26,589.38

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Solution

The third proportional to 17,226.75 and 26,589.38 is: 41,040.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,226.75 : 26,589.38 = 26,589.38 : x
  2. Step 2: Convert to fraction form
    17,226.75/26,589.38 = 26,589.38/x
  3. Step 3: Cross multiply
    17,226.75x = 26,589.38 × 26,589.38
  4. Step 4: Simplify right side
    17,226.75x = 706,994,862.89
  5. Step 5: Solve for x
    x = 706,994,862.89/17,226.75
  6. Step 6: Final answer
    x = 41,040.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.