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Finding the Third Proportional to 5,550 and 8,299

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Solution

The third proportional to 5,550 and 8,299 is: 12,409.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,550 : 8,299 = 8,299 : x
  2. Step 2: Convert to fraction form
    5,550/8,299 = 8,299/x
  3. Step 3: Cross multiply
    5,550x = 8,299 × 8,299
  4. Step 4: Simplify right side
    5,550x = 68,873,401
  5. Step 5: Solve for x
    x = 68,873,401/5,550
  6. Step 6: Final answer
    x = 12,409.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.