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Finding the Third Proportional to 17,185 and 37,175

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Solution

The third proportional to 17,185 and 37,175 is: 80,417.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,185 : 37,175 = 37,175 : x
  2. Step 2: Convert to fraction form
    17,185/37,175 = 37,175/x
  3. Step 3: Cross multiply
    17,185x = 37,175 × 37,175
  4. Step 4: Simplify right side
    17,185x = 1,381,980,625
  5. Step 5: Solve for x
    x = 1,381,980,625/17,185
  6. Step 6: Final answer
    x = 80,417.84

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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.