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Finding the Third Proportional to 19,319.25 and 41,190.38

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Solution

The third proportional to 19,319.25 and 41,190.38 is: 87,821.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,319.25 : 41,190.38 = 41,190.38 : x
  2. Step 2: Convert to fraction form
    19,319.25/41,190.38 = 41,190.38/x
  3. Step 3: Cross multiply
    19,319.25x = 41,190.38 × 41,190.38
  4. Step 4: Simplify right side
    19,319.25x = 1,696,646,992.64
  5. Step 5: Solve for x
    x = 1,696,646,992.64/19,319.25
  6. Step 6: Final answer
    x = 87,821.58

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.