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Finding the Third Proportional to 11,970 and 28,299

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Solution

The third proportional to 11,970 and 28,299 is: 66,903.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970 : 28,299 = 28,299 : x
  2. Step 2: Convert to fraction form
    11,970/28,299 = 28,299/x
  3. Step 3: Cross multiply
    11,970x = 28,299 × 28,299
  4. Step 4: Simplify right side
    11,970x = 800,833,401
  5. Step 5: Solve for x
    x = 800,833,401/11,970
  6. Step 6: Final answer
    x = 66,903.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.