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Finding the Third Proportional to 17,162 and 24,039

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Solution

The third proportional to 17,162 and 24,039 is: 33,671.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,162 : 24,039 = 24,039 : x
  2. Step 2: Convert to fraction form
    17,162/24,039 = 24,039/x
  3. Step 3: Cross multiply
    17,162x = 24,039 × 24,039
  4. Step 4: Simplify right side
    17,162x = 577,873,521
  5. Step 5: Solve for x
    x = 577,873,521/17,162
  6. Step 6: Final answer
    x = 33,671.69

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.