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Finding the Third Proportional to 2,114 and 3,299

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Solution

The third proportional to 2,114 and 3,299 is: 5,148.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114 : 3,299 = 3,299 : x
  2. Step 2: Convert to fraction form
    2,114/3,299 = 3,299/x
  3. Step 3: Cross multiply
    2,114x = 3,299 × 3,299
  4. Step 4: Simplify right side
    2,114x = 10,883,401
  5. Step 5: Solve for x
    x = 10,883,401/2,114
  6. Step 6: Final answer
    x = 5,148.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.