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Finding the Third Proportional to 17,896 and 39,122

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Solution

The third proportional to 17,896 and 39,122 is: 85,523.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,896 : 39,122 = 39,122 : x
  2. Step 2: Convert to fraction form
    17,896/39,122 = 39,122/x
  3. Step 3: Cross multiply
    17,896x = 39,122 × 39,122
  4. Step 4: Simplify right side
    17,896x = 1,530,530,884
  5. Step 5: Solve for x
    x = 1,530,530,884/17,896
  6. Step 6: Final answer
    x = 85,523.63

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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.