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Finding the Third Proportional to 17,623 and 26,992.75

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Solution

The third proportional to 17,623 and 26,992.75 is: 41,344.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,623 : 26,992.75 = 26,992.75 : x
  2. Step 2: Convert to fraction form
    17,623/26,992.75 = 26,992.75/x
  3. Step 3: Cross multiply
    17,623x = 26,992.75 × 26,992.75
  4. Step 4: Simplify right side
    17,623x = 728,608,552.56
  5. Step 5: Solve for x
    x = 728,608,552.56/17,623
  6. Step 6: Final answer
    x = 41,344.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.