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Finding the Third Proportional to 18,242 and 39,256

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Solution

The third proportional to 18,242 and 39,256 is: 84,477.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,242 : 39,256 = 39,256 : x
  2. Step 2: Convert to fraction form
    18,242/39,256 = 39,256/x
  3. Step 3: Cross multiply
    18,242x = 39,256 × 39,256
  4. Step 4: Simplify right side
    18,242x = 1,541,033,536
  5. Step 5: Solve for x
    x = 1,541,033,536/18,242
  6. Step 6: Final answer
    x = 84,477.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.