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Finding the Third Proportional to 39,439.13 and 85,236.75

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Solution

The third proportional to 39,439.13 and 85,236.75 is: 184,215.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,439.13 : 85,236.75 = 85,236.75 : x
  2. Step 2: Convert to fraction form
    39,439.13/85,236.75 = 85,236.75/x
  3. Step 3: Cross multiply
    39,439.13x = 85,236.75 × 85,236.75
  4. Step 4: Simplify right side
    39,439.13x = 7,265,303,550.56
  5. Step 5: Solve for x
    x = 7,265,303,550.56/39,439.13
  6. Step 6: Final answer
    x = 184,215.64

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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.