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Finding the Third Proportional to 17,059 and 36,710

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Solution

The third proportional to 17,059 and 36,710 is: 78,997.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,059 : 36,710 = 36,710 : x
  2. Step 2: Convert to fraction form
    17,059/36,710 = 36,710/x
  3. Step 3: Cross multiply
    17,059x = 36,710 × 36,710
  4. Step 4: Simplify right side
    17,059x = 1,347,624,100
  5. Step 5: Solve for x
    x = 1,347,624,100/17,059
  6. Step 6: Final answer
    x = 78,997.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.