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Finding the Third Proportional to 17,018 and 37,348

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Solution

The third proportional to 17,018 and 37,348 is: 81,964.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,018 : 37,348 = 37,348 : x
  2. Step 2: Convert to fraction form
    17,018/37,348 = 37,348/x
  3. Step 3: Cross multiply
    17,018x = 37,348 × 37,348
  4. Step 4: Simplify right side
    17,018x = 1,394,873,104
  5. Step 5: Solve for x
    x = 1,394,873,104/17,018
  6. Step 6: Final answer
    x = 81,964.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.