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Finding the Third Proportional to 16,738 and 36,710

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Solution

The third proportional to 16,738 and 36,710 is: 80,512.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,738 : 36,710 = 36,710 : x
  2. Step 2: Convert to fraction form
    16,738/36,710 = 36,710/x
  3. Step 3: Cross multiply
    16,738x = 36,710 × 36,710
  4. Step 4: Simplify right side
    16,738x = 1,347,624,100
  5. Step 5: Solve for x
    x = 1,347,624,100/16,738
  6. Step 6: Final answer
    x = 80,512.85

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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.