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Finding the Third Proportional to 17,800 and 26,568

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Solution

The third proportional to 17,800 and 26,568 is: 39,654.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,800 : 26,568 = 26,568 : x
  2. Step 2: Convert to fraction form
    17,800/26,568 = 26,568/x
  3. Step 3: Cross multiply
    17,800x = 26,568 × 26,568
  4. Step 4: Simplify right side
    17,800x = 705,858,624
  5. Step 5: Solve for x
    x = 705,858,624/17,800
  6. Step 6: Final answer
    x = 39,654.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.