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Finding the Third Proportional to 17,976 and 38,554

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Solution

The third proportional to 17,976 and 38,554 is: 82,688.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,976 : 38,554 = 38,554 : x
  2. Step 2: Convert to fraction form
    17,976/38,554 = 38,554/x
  3. Step 3: Cross multiply
    17,976x = 38,554 × 38,554
  4. Step 4: Simplify right side
    17,976x = 1,486,410,916
  5. Step 5: Solve for x
    x = 1,486,410,916/17,976
  6. Step 6: Final answer
    x = 82,688.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.