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Finding the Third Proportional to 17,186 and 36,622

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Solution

The third proportional to 17,186 and 36,622 is: 78,038.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,186 : 36,622 = 36,622 : x
  2. Step 2: Convert to fraction form
    17,186/36,622 = 36,622/x
  3. Step 3: Cross multiply
    17,186x = 36,622 × 36,622
  4. Step 4: Simplify right side
    17,186x = 1,341,170,884
  5. Step 5: Solve for x
    x = 1,341,170,884/17,186
  6. Step 6: Final answer
    x = 78,038.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.