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Finding the Third Proportional to 17,634.19 and 23,922.56

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Solution

The third proportional to 17,634.19 and 23,922.56 is: 32,453.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,634.19 : 23,922.56 = 23,922.56 : x
  2. Step 2: Convert to fraction form
    17,634.19/23,922.56 = 23,922.56/x
  3. Step 3: Cross multiply
    17,634.19x = 23,922.56 × 23,922.56
  4. Step 4: Simplify right side
    17,634.19x = 572,288,996.57
  5. Step 5: Solve for x
    x = 572,288,996.57/17,634.19
  6. Step 6: Final answer
    x = 32,453.38

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.