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Finding the Third Proportional to 16,795 and 36,182

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Solution

The third proportional to 16,795 and 36,182 is: 77,948.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,795 : 36,182 = 36,182 : x
  2. Step 2: Convert to fraction form
    16,795/36,182 = 36,182/x
  3. Step 3: Cross multiply
    16,795x = 36,182 × 36,182
  4. Step 4: Simplify right side
    16,795x = 1,309,137,124
  5. Step 5: Solve for x
    x = 1,309,137,124/16,795
  6. Step 6: Final answer
    x = 77,948.03

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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.