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Finding the Third Proportional to 40,361.63 and 55,405.69

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Solution

The third proportional to 40,361.63 and 55,405.69 is: 76,057.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,361.63 : 55,405.69 = 55,405.69 : x
  2. Step 2: Convert to fraction form
    40,361.63/55,405.69 = 55,405.69/x
  3. Step 3: Cross multiply
    40,361.63x = 55,405.69 × 55,405.69
  4. Step 4: Simplify right side
    40,361.63x = 3,069,790,207.35
  5. Step 5: Solve for x
    x = 3,069,790,207.35/40,361.63
  6. Step 6: Final answer
    x = 76,057.15

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.