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Finding the Third Proportional to 30,651.75 and 41,191.03

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Solution

The third proportional to 30,651.75 and 41,191.03 is: 55,354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,651.75 : 41,191.03 = 41,191.03 : x
  2. Step 2: Convert to fraction form
    30,651.75/41,191.03 = 41,191.03/x
  3. Step 3: Cross multiply
    30,651.75x = 41,191.03 × 41,191.03
  4. Step 4: Simplify right side
    30,651.75x = 1,696,701,055.44
  5. Step 5: Solve for x
    x = 1,696,701,055.44/30,651.75
  6. Step 6: Final answer
    x = 55,354.13

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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.