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Finding the Third Proportional to 17,967 and 27,200.25

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Solution

The third proportional to 17,967 and 27,200.25 is: 41,178.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,967 : 27,200.25 = 27,200.25 : x
  2. Step 2: Convert to fraction form
    17,967/27,200.25 = 27,200.25/x
  3. Step 3: Cross multiply
    17,967x = 27,200.25 × 27,200.25
  4. Step 4: Simplify right side
    17,967x = 739,853,600.06
  5. Step 5: Solve for x
    x = 739,853,600.06/17,967
  6. Step 6: Final answer
    x = 41,178.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.