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Finding the Third Proportional to 39,765.94 and 85,760.02

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Solution

The third proportional to 39,765.94 and 85,760.02 is: 184,951.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,765.94 : 85,760.02 = 85,760.02 : x
  2. Step 2: Convert to fraction form
    39,765.94/85,760.02 = 85,760.02/x
  3. Step 3: Cross multiply
    39,765.94x = 85,760.02 × 85,760.02
  4. Step 4: Simplify right side
    39,765.94x = 7,354,780,280.00
  5. Step 5: Solve for x
    x = 7,354,780,280.00/39,765.94
  6. Step 6: Final answer
    x = 184,951.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.