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Finding the Third Proportional to 17,928 and 38,495.25

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Solution

The third proportional to 17,928 and 38,495.25 is: 82,657.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,928 : 38,495.25 = 38,495.25 : x
  2. Step 2: Convert to fraction form
    17,928/38,495.25 = 38,495.25/x
  3. Step 3: Cross multiply
    17,928x = 38,495.25 × 38,495.25
  4. Step 4: Simplify right side
    17,928x = 1,481,884,272.56
  5. Step 5: Solve for x
    x = 1,481,884,272.56/17,928
  6. Step 6: Final answer
    x = 82,657.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.