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Finding the Third Proportional to 19,321 and 41,173

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Solution

The third proportional to 19,321 and 41,173 is: 87,739.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,321 : 41,173 = 41,173 : x
  2. Step 2: Convert to fraction form
    19,321/41,173 = 41,173/x
  3. Step 3: Cross multiply
    19,321x = 41,173 × 41,173
  4. Step 4: Simplify right side
    19,321x = 1,695,215,929
  5. Step 5: Solve for x
    x = 1,695,215,929/19,321
  6. Step 6: Final answer
    x = 87,739.55

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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.