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Finding the Third Proportional to 17,100 and 36,759

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Solution

The third proportional to 17,100 and 36,759 is: 79,018.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,100 : 36,759 = 36,759 : x
  2. Step 2: Convert to fraction form
    17,100/36,759 = 36,759/x
  3. Step 3: Cross multiply
    17,100x = 36,759 × 36,759
  4. Step 4: Simplify right side
    17,100x = 1,351,224,081
  5. Step 5: Solve for x
    x = 1,351,224,081/17,100
  6. Step 6: Final answer
    x = 79,018.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.