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Finding the Third Proportional to 17,194.31 and 25,629.38

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Solution

The third proportional to 17,194.31 and 25,629.38 is: 38,202.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,194.31 : 25,629.38 = 25,629.38 : x
  2. Step 2: Convert to fraction form
    17,194.31/25,629.38 = 25,629.38/x
  3. Step 3: Cross multiply
    17,194.31x = 25,629.38 × 25,629.38
  4. Step 4: Simplify right side
    17,194.31x = 656,864,862.89
  5. Step 5: Solve for x
    x = 656,864,862.89/17,194.31
  6. Step 6: Final answer
    x = 38,202.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.