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Finding the Third Proportional to 12,285 and 25,299

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Solution

The third proportional to 12,285 and 25,299 is: 52,099.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,285 : 25,299 = 25,299 : x
  2. Step 2: Convert to fraction form
    12,285/25,299 = 25,299/x
  3. Step 3: Cross multiply
    12,285x = 25,299 × 25,299
  4. Step 4: Simplify right side
    12,285x = 640,039,401
  5. Step 5: Solve for x
    x = 640,039,401/12,285
  6. Step 6: Final answer
    x = 52,099.26

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.