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Finding the Third Proportional to 17,746 and 27,839

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Solution

The third proportional to 17,746 and 27,839 is: 43,672.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,746 : 27,839 = 27,839 : x
  2. Step 2: Convert to fraction form
    17,746/27,839 = 27,839/x
  3. Step 3: Cross multiply
    17,746x = 27,839 × 27,839
  4. Step 4: Simplify right side
    17,746x = 775,009,921
  5. Step 5: Solve for x
    x = 775,009,921/17,746
  6. Step 6: Final answer
    x = 43,672.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.