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Finding the Third Proportional to 17,679.25 and 25,924.75

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Solution

The third proportional to 17,679.25 and 25,924.75 is: 38,015.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,679.25 : 25,924.75 = 25,924.75 : x
  2. Step 2: Convert to fraction form
    17,679.25/25,924.75 = 25,924.75/x
  3. Step 3: Cross multiply
    17,679.25x = 25,924.75 × 25,924.75
  4. Step 4: Simplify right side
    17,679.25x = 672,092,662.56
  5. Step 5: Solve for x
    x = 672,092,662.56/17,679.25
  6. Step 6: Final answer
    x = 38,015.90

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.