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Finding the Third Proportional to 17,002 and 37,208

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Solution

The third proportional to 17,002 and 37,208 is: 81,427.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,002 : 37,208 = 37,208 : x
  2. Step 2: Convert to fraction form
    17,002/37,208 = 37,208/x
  3. Step 3: Cross multiply
    17,002x = 37,208 × 37,208
  4. Step 4: Simplify right side
    17,002x = 1,384,435,264
  5. Step 5: Solve for x
    x = 1,384,435,264/17,002
  6. Step 6: Final answer
    x = 81,427.79

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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.