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Finding the Third Proportional to 10,204 and 22,476

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Solution

The third proportional to 10,204 and 22,476 is: 49,507.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204 : 22,476 = 22,476 : x
  2. Step 2: Convert to fraction form
    10,204/22,476 = 22,476/x
  3. Step 3: Cross multiply
    10,204x = 22,476 × 22,476
  4. Step 4: Simplify right side
    10,204x = 505,170,576
  5. Step 5: Solve for x
    x = 505,170,576/10,204
  6. Step 6: Final answer
    x = 49,507.11

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Why These Related Problems?

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