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Finding the Third Proportional to 10,105 and 21,505

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Solution

The third proportional to 10,105 and 21,505 is: 45,765.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105 : 21,505 = 21,505 : x
  2. Step 2: Convert to fraction form
    10,105/21,505 = 21,505/x
  3. Step 3: Cross multiply
    10,105x = 21,505 × 21,505
  4. Step 4: Simplify right side
    10,105x = 462,465,025
  5. Step 5: Solve for x
    x = 462,465,025/10,105
  6. Step 6: Final answer
    x = 45,765.96

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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.