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Finding the Third Proportional to 20,786.50 and 39,659.50

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Solution

The third proportional to 20,786.50 and 39,659.50 is: 75,668.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,786.50 : 39,659.50 = 39,659.50 : x
  2. Step 2: Convert to fraction form
    20,786.50/39,659.50 = 39,659.50/x
  3. Step 3: Cross multiply
    20,786.50x = 39,659.50 × 39,659.50
  4. Step 4: Simplify right side
    20,786.50x = 1,572,875,940.25
  5. Step 5: Solve for x
    x = 1,572,875,940.25/20,786.50
  6. Step 6: Final answer
    x = 75,668.15

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