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Finding the Third Proportional to 17,974.41 and 39,229.31

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Solution

The third proportional to 17,974.41 and 39,229.31 is: 85,618.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,974.41 : 39,229.31 = 39,229.31 : x
  2. Step 2: Convert to fraction form
    17,974.41/39,229.31 = 39,229.31/x
  3. Step 3: Cross multiply
    17,974.41x = 39,229.31 × 39,229.31
  4. Step 4: Simplify right side
    17,974.41x = 1,538,938,959.22
  5. Step 5: Solve for x
    x = 1,538,938,959.22/17,974.41
  6. Step 6: Final answer
    x = 85,618.35

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.