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Finding the Third Proportional to 2,614 and 4,339

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Solution

The third proportional to 2,614 and 4,339 is: 7,202.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614 : 4,339 = 4,339 : x
  2. Step 2: Convert to fraction form
    2,614/4,339 = 4,339/x
  3. Step 3: Cross multiply
    2,614x = 4,339 × 4,339
  4. Step 4: Simplify right side
    2,614x = 18,826,921
  5. Step 5: Solve for x
    x = 18,826,921/2,614
  6. Step 6: Final answer
    x = 7,202.34

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.