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Finding the Third Proportional to 2,900 and 6,367

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Solution

The third proportional to 2,900 and 6,367 is: 13,978.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900 : 6,367 = 6,367 : x
  2. Step 2: Convert to fraction form
    2,900/6,367 = 6,367/x
  3. Step 3: Cross multiply
    2,900x = 6,367 × 6,367
  4. Step 4: Simplify right side
    2,900x = 40,538,689
  5. Step 5: Solve for x
    x = 40,538,689/2,900
  6. Step 6: Final answer
    x = 13,978.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.