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Finding the Third Proportional to 2,536 and 6,838

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Solution

The third proportional to 2,536 and 6,838 is: 18,437.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536 : 6,838 = 6,838 : x
  2. Step 2: Convert to fraction form
    2,536/6,838 = 6,838/x
  3. Step 3: Cross multiply
    2,536x = 6,838 × 6,838
  4. Step 4: Simplify right side
    2,536x = 46,758,244
  5. Step 5: Solve for x
    x = 46,758,244/2,536
  6. Step 6: Final answer
    x = 18,437.79

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.