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Finding the Third Proportional to 17,342 and 25,631

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Solution

The third proportional to 17,342 and 25,631 is: 37,881.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,342 : 25,631 = 25,631 : x
  2. Step 2: Convert to fraction form
    17,342/25,631 = 25,631/x
  3. Step 3: Cross multiply
    17,342x = 25,631 × 25,631
  4. Step 4: Simplify right side
    17,342x = 656,948,161
  5. Step 5: Solve for x
    x = 656,948,161/17,342
  6. Step 6: Final answer
    x = 37,881.91

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.