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Finding the Third Proportional to 10,212 and 20,604

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Solution

The third proportional to 10,212 and 20,604 is: 41,571.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212 : 20,604 = 20,604 : x
  2. Step 2: Convert to fraction form
    10,212/20,604 = 20,604/x
  3. Step 3: Cross multiply
    10,212x = 20,604 × 20,604
  4. Step 4: Simplify right side
    10,212x = 424,524,816
  5. Step 5: Solve for x
    x = 424,524,816/10,212
  6. Step 6: Final answer
    x = 41,571.17

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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.