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Finding the Third Proportional to 39,793.15 and 85,785.64

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Solution

The third proportional to 39,793.15 and 85,785.64 is: 184,935.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,793.15 : 85,785.64 = 85,785.64 : x
  2. Step 2: Convert to fraction form
    39,793.15/85,785.64 = 85,785.64/x
  3. Step 3: Cross multiply
    39,793.15x = 85,785.64 × 85,785.64
  4. Step 4: Simplify right side
    39,793.15x = 7,359,176,807.64
  5. Step 5: Solve for x
    x = 7,359,176,807.64/39,793.15
  6. Step 6: Final answer
    x = 184,935.78

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Why These Related Problems?

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