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Finding the Third Proportional to 19,231 and 41,561

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Solution

The third proportional to 19,231 and 41,561 is: 89,819.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,231 : 41,561 = 41,561 : x
  2. Step 2: Convert to fraction form
    19,231/41,561 = 41,561/x
  3. Step 3: Cross multiply
    19,231x = 41,561 × 41,561
  4. Step 4: Simplify right side
    19,231x = 1,727,316,721
  5. Step 5: Solve for x
    x = 1,727,316,721/19,231
  6. Step 6: Final answer
    x = 89,819.39

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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.