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Finding the Third Proportional to 19,321 and 41,195

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Solution

The third proportional to 19,321 and 41,195 is: 87,833.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,321 : 41,195 = 41,195 : x
  2. Step 2: Convert to fraction form
    19,321/41,195 = 41,195/x
  3. Step 3: Cross multiply
    19,321x = 41,195 × 41,195
  4. Step 4: Simplify right side
    19,321x = 1,697,028,025
  5. Step 5: Solve for x
    x = 1,697,028,025/19,321
  6. Step 6: Final answer
    x = 87,833.34

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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.