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Finding the Third Proportional to 10,105 and 22,195

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Solution

The third proportional to 10,105 and 22,195 is: 48,749.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105 : 22,195 = 22,195 : x
  2. Step 2: Convert to fraction form
    10,105/22,195 = 22,195/x
  3. Step 3: Cross multiply
    10,105x = 22,195 × 22,195
  4. Step 4: Simplify right side
    10,105x = 492,618,025
  5. Step 5: Solve for x
    x = 492,618,025/10,105
  6. Step 6: Final answer
    x = 48,749.93

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.