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Finding the Third Proportional to 1,976 and 3,896

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Solution

The third proportional to 1,976 and 3,896 is: 7,681.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976 : 3,896 = 3,896 : x
  2. Step 2: Convert to fraction form
    1,976/3,896 = 3,896/x
  3. Step 3: Cross multiply
    1,976x = 3,896 × 3,896
  4. Step 4: Simplify right side
    1,976x = 15,178,816
  5. Step 5: Solve for x
    x = 15,178,816/1,976
  6. Step 6: Final answer
    x = 7,681.59

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.