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Finding the Third Proportional to 17,845.50 and 27,723

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Solution

The third proportional to 17,845.50 and 27,723 is: 43,067.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,845.50 : 27,723 = 27,723 : x
  2. Step 2: Convert to fraction form
    17,845.50/27,723 = 27,723/x
  3. Step 3: Cross multiply
    17,845.50x = 27,723 × 27,723
  4. Step 4: Simplify right side
    17,845.50x = 768,564,729
  5. Step 5: Solve for x
    x = 768,564,729/17,845.50
  6. Step 6: Final answer
    x = 43,067.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.