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Finding the Third Proportional to 12,341 and 17,589

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Solution

The third proportional to 12,341 and 17,589 is: 25,068.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,341 : 17,589 = 17,589 : x
  2. Step 2: Convert to fraction form
    12,341/17,589 = 17,589/x
  3. Step 3: Cross multiply
    12,341x = 17,589 × 17,589
  4. Step 4: Simplify right side
    12,341x = 309,372,921
  5. Step 5: Solve for x
    x = 309,372,921/12,341
  6. Step 6: Final answer
    x = 25,068.71

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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.