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Finding the Third Proportional to 17,700 and 38,268

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Solution

The third proportional to 17,700 and 38,268 is: 82,736.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,700 : 38,268 = 38,268 : x
  2. Step 2: Convert to fraction form
    17,700/38,268 = 38,268/x
  3. Step 3: Cross multiply
    17,700x = 38,268 × 38,268
  4. Step 4: Simplify right side
    17,700x = 1,464,439,824
  5. Step 5: Solve for x
    x = 1,464,439,824/17,700
  6. Step 6: Final answer
    x = 82,736.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.