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Finding the Third Proportional to 18,866 and 39,568

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Solution

The third proportional to 18,866 and 39,568 is: 82,986.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,866 : 39,568 = 39,568 : x
  2. Step 2: Convert to fraction form
    18,866/39,568 = 39,568/x
  3. Step 3: Cross multiply
    18,866x = 39,568 × 39,568
  4. Step 4: Simplify right side
    18,866x = 1,565,626,624
  5. Step 5: Solve for x
    x = 1,565,626,624/18,866
  6. Step 6: Final answer
    x = 82,986.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.