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Finding the Third Proportional to 3,000 and 4,299

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Solution

The third proportional to 3,000 and 4,299 is: 6,160.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000 : 4,299 = 4,299 : x
  2. Step 2: Convert to fraction form
    3,000/4,299 = 4,299/x
  3. Step 3: Cross multiply
    3,000x = 4,299 × 4,299
  4. Step 4: Simplify right side
    3,000x = 18,481,401
  5. Step 5: Solve for x
    x = 18,481,401/3,000
  6. Step 6: Final answer
    x = 6,160.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.