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Finding the Third Proportional to 40,783.88 and 57,433.69

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Solution

The third proportional to 40,783.88 and 57,433.69 is: 80,880.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,783.88 : 57,433.69 = 57,433.69 : x
  2. Step 2: Convert to fraction form
    40,783.88/57,433.69 = 57,433.69/x
  3. Step 3: Cross multiply
    40,783.88x = 57,433.69 × 57,433.69
  4. Step 4: Simplify right side
    40,783.88x = 3,298,628,459.85
  5. Step 5: Solve for x
    x = 3,298,628,459.85/40,783.88
  6. Step 6: Final answer
    x = 80,880.70

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.