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Finding the Third Proportional to 17,437 and 38,393

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Solution

The third proportional to 17,437 and 38,393 is: 84,534.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,437 : 38,393 = 38,393 : x
  2. Step 2: Convert to fraction form
    17,437/38,393 = 38,393/x
  3. Step 3: Cross multiply
    17,437x = 38,393 × 38,393
  4. Step 4: Simplify right side
    17,437x = 1,474,022,449
  5. Step 5: Solve for x
    x = 1,474,022,449/17,437
  6. Step 6: Final answer
    x = 84,534.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.