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Finding the Third Proportional to 16,813 and 36,705

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Solution

The third proportional to 16,813 and 36,705 is: 80,131.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,813 : 36,705 = 36,705 : x
  2. Step 2: Convert to fraction form
    16,813/36,705 = 36,705/x
  3. Step 3: Cross multiply
    16,813x = 36,705 × 36,705
  4. Step 4: Simplify right side
    16,813x = 1,347,257,025
  5. Step 5: Solve for x
    x = 1,347,257,025/16,813
  6. Step 6: Final answer
    x = 80,131.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.