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Finding the Third Proportional to 2,500 and 2,696

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Solution

The third proportional to 2,500 and 2,696 is: 2,907.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500 : 2,696 = 2,696 : x
  2. Step 2: Convert to fraction form
    2,500/2,696 = 2,696/x
  3. Step 3: Cross multiply
    2,500x = 2,696 × 2,696
  4. Step 4: Simplify right side
    2,500x = 7,268,416
  5. Step 5: Solve for x
    x = 7,268,416/2,500
  6. Step 6: Final answer
    x = 2,907.37

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.