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Finding the Third Proportional to 17,867 and 40,413

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Solution

The third proportional to 17,867 and 40,413 is: 91,409.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,867 : 40,413 = 40,413 : x
  2. Step 2: Convert to fraction form
    17,867/40,413 = 40,413/x
  3. Step 3: Cross multiply
    17,867x = 40,413 × 40,413
  4. Step 4: Simplify right side
    17,867x = 1,633,210,569
  5. Step 5: Solve for x
    x = 1,633,210,569/17,867
  6. Step 6: Final answer
    x = 91,409.33

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.