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Finding the Third Proportional to 17,668 and 25,940

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Solution

The third proportional to 17,668 and 25,940 is: 38,084.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,668 : 25,940 = 25,940 : x
  2. Step 2: Convert to fraction form
    17,668/25,940 = 25,940/x
  3. Step 3: Cross multiply
    17,668x = 25,940 × 25,940
  4. Step 4: Simplify right side
    17,668x = 672,883,600
  5. Step 5: Solve for x
    x = 672,883,600/17,668
  6. Step 6: Final answer
    x = 38,084.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.