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Finding the Third Proportional to 19,583.72 and 40,204.41

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Solution

The third proportional to 19,583.72 and 40,204.41 is: 82,537.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,583.72 : 40,204.41 = 40,204.41 : x
  2. Step 2: Convert to fraction form
    19,583.72/40,204.41 = 40,204.41/x
  3. Step 3: Cross multiply
    19,583.72x = 40,204.41 × 40,204.41
  4. Step 4: Simplify right side
    19,583.72x = 1,616,394,281.92
  5. Step 5: Solve for x
    x = 1,616,394,281.92/19,583.72
  6. Step 6: Final answer
    x = 82,537.66

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.