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Finding the Third Proportional to 39,759 and 86,529.75

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Solution

The third proportional to 39,759 and 86,529.75 is: 188,319.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,759 : 86,529.75 = 86,529.75 : x
  2. Step 2: Convert to fraction form
    39,759/86,529.75 = 86,529.75/x
  3. Step 3: Cross multiply
    39,759x = 86,529.75 × 86,529.75
  4. Step 4: Simplify right side
    39,759x = 7,487,397,635.06
  5. Step 5: Solve for x
    x = 7,487,397,635.06/39,759
  6. Step 6: Final answer
    x = 188,319.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.