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Finding the Third Proportional to 10,285 and 21,296

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Solution

The third proportional to 10,285 and 21,296 is: 44,095.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285 : 21,296 = 21,296 : x
  2. Step 2: Convert to fraction form
    10,285/21,296 = 21,296/x
  3. Step 3: Cross multiply
    10,285x = 21,296 × 21,296
  4. Step 4: Simplify right side
    10,285x = 453,519,616
  5. Step 5: Solve for x
    x = 453,519,616/10,285
  6. Step 6: Final answer
    x = 44,095.25

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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.