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Finding the Third Proportional to 40,941 and 55,579.50

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Solution

The third proportional to 40,941 and 55,579.50 is: 75,452.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,941 : 55,579.50 = 55,579.50 : x
  2. Step 2: Convert to fraction form
    40,941/55,579.50 = 55,579.50/x
  3. Step 3: Cross multiply
    40,941x = 55,579.50 × 55,579.50
  4. Step 4: Simplify right side
    40,941x = 3,089,080,820.25
  5. Step 5: Solve for x
    x = 3,089,080,820.25/40,941
  6. Step 6: Final answer
    x = 75,452.01

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.