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Finding the Third Proportional to 19,350 and 41,228

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Solution

The third proportional to 19,350 and 41,228 is: 87,842.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,350 : 41,228 = 41,228 : x
  2. Step 2: Convert to fraction form
    19,350/41,228 = 41,228/x
  3. Step 3: Cross multiply
    19,350x = 41,228 × 41,228
  4. Step 4: Simplify right side
    19,350x = 1,699,747,984
  5. Step 5: Solve for x
    x = 1,699,747,984/19,350
  6. Step 6: Final answer
    x = 87,842.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.