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Finding the Third Proportional to 18,668 and 26,170

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Solution

The third proportional to 18,668 and 26,170 is: 36,686.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,668 : 26,170 = 26,170 : x
  2. Step 2: Convert to fraction form
    18,668/26,170 = 26,170/x
  3. Step 3: Cross multiply
    18,668x = 26,170 × 26,170
  4. Step 4: Simplify right side
    18,668x = 684,868,900
  5. Step 5: Solve for x
    x = 684,868,900/18,668
  6. Step 6: Final answer
    x = 36,686.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.