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Finding the Third Proportional to 3,102 and 3,929

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Solution

The third proportional to 3,102 and 3,929 is: 4,976.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102 : 3,929 = 3,929 : x
  2. Step 2: Convert to fraction form
    3,102/3,929 = 3,929/x
  3. Step 3: Cross multiply
    3,102x = 3,929 × 3,929
  4. Step 4: Simplify right side
    3,102x = 15,437,041
  5. Step 5: Solve for x
    x = 15,437,041/3,102
  6. Step 6: Final answer
    x = 4,976.48

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.