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Finding the Third Proportional to 2,606 and 3,349

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Solution

The third proportional to 2,606 and 3,349 is: 4,303.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606 : 3,349 = 3,349 : x
  2. Step 2: Convert to fraction form
    2,606/3,349 = 3,349/x
  3. Step 3: Cross multiply
    2,606x = 3,349 × 3,349
  4. Step 4: Simplify right side
    2,606x = 11,215,801
  5. Step 5: Solve for x
    x = 11,215,801/2,606
  6. Step 6: Final answer
    x = 4,303.84

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.