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Finding the Third Proportional to 2,696 and 3,164

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Solution

The third proportional to 2,696 and 3,164 is: 3,713.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696 : 3,164 = 3,164 : x
  2. Step 2: Convert to fraction form
    2,696/3,164 = 3,164/x
  3. Step 3: Cross multiply
    2,696x = 3,164 × 3,164
  4. Step 4: Simplify right side
    2,696x = 10,010,896
  5. Step 5: Solve for x
    x = 10,010,896/2,696
  6. Step 6: Final answer
    x = 3,713.24

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.