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Finding the Third Proportional to 17,545 and 38,782

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Solution

The third proportional to 17,545 and 38,782 is: 85,724.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,545 : 38,782 = 38,782 : x
  2. Step 2: Convert to fraction form
    17,545/38,782 = 38,782/x
  3. Step 3: Cross multiply
    17,545x = 38,782 × 38,782
  4. Step 4: Simplify right side
    17,545x = 1,504,043,524
  5. Step 5: Solve for x
    x = 1,504,043,524/17,545
  6. Step 6: Final answer
    x = 85,724.91

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.