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Finding the Third Proportional to 17,600 and 27,293

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Solution

The third proportional to 17,600 and 27,293 is: 42,324.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,600 : 27,293 = 27,293 : x
  2. Step 2: Convert to fraction form
    17,600/27,293 = 27,293/x
  3. Step 3: Cross multiply
    17,600x = 27,293 × 27,293
  4. Step 4: Simplify right side
    17,600x = 744,907,849
  5. Step 5: Solve for x
    x = 744,907,849/17,600
  6. Step 6: Final answer
    x = 42,324.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.