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Finding the Third Proportional to 10,285 and 21,299

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Solution

The third proportional to 10,285 and 21,299 is: 44,107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285 : 21,299 = 21,299 : x
  2. Step 2: Convert to fraction form
    10,285/21,299 = 21,299/x
  3. Step 3: Cross multiply
    10,285x = 21,299 × 21,299
  4. Step 4: Simplify right side
    10,285x = 453,647,401
  5. Step 5: Solve for x
    x = 453,647,401/10,285
  6. Step 6: Final answer
    x = 44,107.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.