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Finding the Third Proportional to 17,085 and 36,979

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Solution

The third proportional to 17,085 and 36,979 is: 80,037.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,085 : 36,979 = 36,979 : x
  2. Step 2: Convert to fraction form
    17,085/36,979 = 36,979/x
  3. Step 3: Cross multiply
    17,085x = 36,979 × 36,979
  4. Step 4: Simplify right side
    17,085x = 1,367,446,441
  5. Step 5: Solve for x
    x = 1,367,446,441/17,085
  6. Step 6: Final answer
    x = 80,037.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.