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Finding the Third Proportional to 10,107 and 20,396.25

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Solution

The third proportional to 10,107 and 20,396.25 is: 41,160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107 : 20,396.25 = 20,396.25 : x
  2. Step 2: Convert to fraction form
    10,107/20,396.25 = 20,396.25/x
  3. Step 3: Cross multiply
    10,107x = 20,396.25 × 20,396.25
  4. Step 4: Simplify right side
    10,107x = 416,007,014.06
  5. Step 5: Solve for x
    x = 416,007,014.06/10,107
  6. Step 6: Final answer
    x = 41,160.29

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.