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Finding the Third Proportional to 10,366 and 21,172

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Solution

The third proportional to 10,366 and 21,172 is: 43,242.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366 : 21,172 = 21,172 : x
  2. Step 2: Convert to fraction form
    10,366/21,172 = 21,172/x
  3. Step 3: Cross multiply
    10,366x = 21,172 × 21,172
  4. Step 4: Simplify right side
    10,366x = 448,253,584
  5. Step 5: Solve for x
    x = 448,253,584/10,366
  6. Step 6: Final answer
    x = 43,242.68

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.