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Finding the Third Proportional to 30,651 and 41,190.19

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Solution

The third proportional to 30,651 and 41,190.19 is: 55,353.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,651 : 41,190.19 = 41,190.19 : x
  2. Step 2: Convert to fraction form
    30,651/41,190.19 = 41,190.19/x
  3. Step 3: Cross multiply
    30,651x = 41,190.19 × 41,190.19
  4. Step 4: Simplify right side
    30,651x = 1,696,631,546.29
  5. Step 5: Solve for x
    x = 1,696,631,546.29/30,651
  6. Step 6: Final answer
    x = 55,353.22

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.