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Finding the Third Proportional to 17,338.50 and 25,857

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Solution

The third proportional to 17,338.50 and 25,857 is: 38,560.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,338.50 : 25,857 = 25,857 : x
  2. Step 2: Convert to fraction form
    17,338.50/25,857 = 25,857/x
  3. Step 3: Cross multiply
    17,338.50x = 25,857 × 25,857
  4. Step 4: Simplify right side
    17,338.50x = 668,584,449
  5. Step 5: Solve for x
    x = 668,584,449/17,338.50
  6. Step 6: Final answer
    x = 38,560.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.