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Finding the Third Proportional to 17,976 and 38,759

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Solution

The third proportional to 17,976 and 38,759 is: 83,570.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,976 : 38,759 = 38,759 : x
  2. Step 2: Convert to fraction form
    17,976/38,759 = 38,759/x
  3. Step 3: Cross multiply
    17,976x = 38,759 × 38,759
  4. Step 4: Simplify right side
    17,976x = 1,502,260,081
  5. Step 5: Solve for x
    x = 1,502,260,081/17,976
  6. Step 6: Final answer
    x = 83,570.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.