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Finding the Third Proportional to 20,786.75 and 39,659.75

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Solution

The third proportional to 20,786.75 and 39,659.75 is: 75,668.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,786.75 : 39,659.75 = 39,659.75 : x
  2. Step 2: Convert to fraction form
    20,786.75/39,659.75 = 39,659.75/x
  3. Step 3: Cross multiply
    20,786.75x = 39,659.75 × 39,659.75
  4. Step 4: Simplify right side
    20,786.75x = 1,572,895,770.06
  5. Step 5: Solve for x
    x = 1,572,895,770.06/20,786.75
  6. Step 6: Final answer
    x = 75,668.19

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.