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Finding the Third Proportional to 17,017 and 37,390

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Solution

The third proportional to 17,017 and 37,390 is: 82,153.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,017 : 37,390 = 37,390 : x
  2. Step 2: Convert to fraction form
    17,017/37,390 = 37,390/x
  3. Step 3: Cross multiply
    17,017x = 37,390 × 37,390
  4. Step 4: Simplify right side
    17,017x = 1,398,012,100
  5. Step 5: Solve for x
    x = 1,398,012,100/17,017
  6. Step 6: Final answer
    x = 82,153.85

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.