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Finding the Third Proportional to 17,167 and 36,179

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Solution

The third proportional to 17,167 and 36,179 is: 76,246.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,167 : 36,179 = 36,179 : x
  2. Step 2: Convert to fraction form
    17,167/36,179 = 36,179/x
  3. Step 3: Cross multiply
    17,167x = 36,179 × 36,179
  4. Step 4: Simplify right side
    17,167x = 1,308,920,041
  5. Step 5: Solve for x
    x = 1,308,920,041/17,167
  6. Step 6: Final answer
    x = 76,246.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.