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Finding the Third Proportional to 17,945 and 25,687

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Solution

The third proportional to 17,945 and 25,687 is: 36,769.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,945 : 25,687 = 25,687 : x
  2. Step 2: Convert to fraction form
    17,945/25,687 = 25,687/x
  3. Step 3: Cross multiply
    17,945x = 25,687 × 25,687
  4. Step 4: Simplify right side
    17,945x = 659,821,969
  5. Step 5: Solve for x
    x = 659,821,969/17,945
  6. Step 6: Final answer
    x = 36,769.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.