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Finding the Third Proportional to 17,054 and 37,268

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Solution

The third proportional to 17,054 and 37,268 is: 81,441.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,054 : 37,268 = 37,268 : x
  2. Step 2: Convert to fraction form
    17,054/37,268 = 37,268/x
  3. Step 3: Cross multiply
    17,054x = 37,268 × 37,268
  4. Step 4: Simplify right side
    17,054x = 1,388,903,824
  5. Step 5: Solve for x
    x = 1,388,903,824/17,054
  6. Step 6: Final answer
    x = 81,441.53

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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.