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Finding the Third Proportional to 17,723.25 and 27,740.25

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Solution

The third proportional to 17,723.25 and 27,740.25 is: 43,418.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,723.25 : 27,740.25 = 27,740.25 : x
  2. Step 2: Convert to fraction form
    17,723.25/27,740.25 = 27,740.25/x
  3. Step 3: Cross multiply
    17,723.25x = 27,740.25 × 27,740.25
  4. Step 4: Simplify right side
    17,723.25x = 769,521,470.06
  5. Step 5: Solve for x
    x = 769,521,470.06/17,723.25
  6. Step 6: Final answer
    x = 43,418.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.