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Finding the Third Proportional to 19,256 and 41,672

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Solution

The third proportional to 19,256 and 41,672 is: 90,182.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,256 : 41,672 = 41,672 : x
  2. Step 2: Convert to fraction form
    19,256/41,672 = 41,672/x
  3. Step 3: Cross multiply
    19,256x = 41,672 × 41,672
  4. Step 4: Simplify right side
    19,256x = 1,736,555,584
  5. Step 5: Solve for x
    x = 1,736,555,584/19,256
  6. Step 6: Final answer
    x = 90,182.57

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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.