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Finding the Third Proportional to 41,410.50 and 55,172.25

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Solution

The third proportional to 41,410.50 and 55,172.25 is: 73,507.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,410.50 : 55,172.25 = 55,172.25 : x
  2. Step 2: Convert to fraction form
    41,410.50/55,172.25 = 55,172.25/x
  3. Step 3: Cross multiply
    41,410.50x = 55,172.25 × 55,172.25
  4. Step 4: Simplify right side
    41,410.50x = 3,043,977,170.06
  5. Step 5: Solve for x
    x = 3,043,977,170.06/41,410.50
  6. Step 6: Final answer
    x = 73,507.38

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.