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Finding the Third Proportional to 17,694 and 37,422

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Solution

The third proportional to 17,694 and 37,422 is: 79,145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,694 : 37,422 = 37,422 : x
  2. Step 2: Convert to fraction form
    17,694/37,422 = 37,422/x
  3. Step 3: Cross multiply
    17,694x = 37,422 × 37,422
  4. Step 4: Simplify right side
    17,694x = 1,400,406,084
  5. Step 5: Solve for x
    x = 1,400,406,084/17,694
  6. Step 6: Final answer
    x = 79,145.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.