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Finding the Third Proportional to 17,682.75 and 23,357.25

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Solution

The third proportional to 17,682.75 and 23,357.25 is: 30,852.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,682.75 : 23,357.25 = 23,357.25 : x
  2. Step 2: Convert to fraction form
    17,682.75/23,357.25 = 23,357.25/x
  3. Step 3: Cross multiply
    17,682.75x = 23,357.25 × 23,357.25
  4. Step 4: Simplify right side
    17,682.75x = 545,561,127.56
  5. Step 5: Solve for x
    x = 545,561,127.56/17,682.75
  6. Step 6: Final answer
    x = 30,852.73

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.